武忠祥高数辅导讲义2023pdf 23考研数学武忠祥严选题PDF 旗胜考研
<div class="index-module_articleWrap_2Zphx "><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p>武忠祥高数篇大家都知道分基础阶段跟强化阶段,这2本书不分考研数学一考研数学二考研数学三<br></p><p></p></div><div class="index-module_mediaWrap_213jB index-module_newStyle_lg-fl "><div class="index-module_contentImg_JmmC0"></div></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1">2023考研数学武忠祥《高数辅导讲义》强化版高清无水印电子版PDF</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1">2023考研数学武忠祥《高频考点必刷题》高清无水印电子版PDF</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1">2023考研数学武忠祥《学霸严选题》高清无水印电子版PDF</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><h3 class="rich_media_title" id="activity-name" data-from-paste="1" data-diagnose-id="64fb273eaac5aef527788b9890f89ce2">【高清无水印】23武忠祥高数辅导讲义pdf</h3><p></p></div><div class="index-module_mediaWrap_213jB index-module_newStyle_lg-fl "><div class="index-module_contentImg_JmmC0"></div></div><div class="index-module_mediaWrap_213jB index-module_newStyle_lg-fl "><div class="index-module_contentImg_JmmC0"></div></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1">高清无水印电子版PDF带目录可搜索 可复制 可打印</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1"><strong data-diagnose-id="d24864ab1089226ff6f227a71101924c">高清无水印电子版PDF:旗胜考研</strong></p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1"><strong data-diagnose-id="a3e8d52abb845e76c71b8de20fbafb7b">考研电子书PDF网站:https://www.pdf2book.com/</strong></p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1">下载方式:百度网盘下载</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1">有无水印:高清无水印</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1">文字内容:支持选取复制</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1">能否打印:支持打印</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1">是否支持搜索:支持全文搜索</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1">是否带目录:带目录</p><p></p></div><div class="index-module_mediaWrap_213jB index-module_newStyle_lg-fl "><div class="index-module_contentImg_JmmC0"></div></div><div class="index-module_mediaWrap_213jB index-module_newStyle_lg-fl "><div class="index-module_contentImg_JmmC0"></div></div><div class="index-module_mediaWrap_213jB index-module_newStyle_lg-fl "><div class="index-module_contentImg_JmmC0"></div></div><div class="index-module_mediaWrap_213jB index-module_newStyle_lg-fl "><div class="index-module_contentImg_JmmC0"></div></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p><span data-from-paste="1" data-diagnose-id="7ed3cfa296db71b3e4a00b1320baee82">求极限的常用方法 </span><span data-from-paste="1" data-diagnose-id="2d8dbb7583b1d06965dc6d4f325ecb3a">方法</span><span data-from-paste="1" data-diagnose-id="fdc90aca5f6f482430cee44ba6bfdaca">1 </span><span data-from-paste="1" data-diagnose-id="048ee2746c4a98ec8690bb2450e2f642">利用有理运算法则求极限 </span><span data-from-paste="1" data-diagnose-id="4eaf1856982d4a1f5340793285ee32c0">若</span><span data-from-paste="1" data-diagnose-id="7a27dfd21c311a9152595f8f91154ff9">lim/(j?) </span><span data-from-paste="1" data-diagnose-id="855b8759cb737b05a622454b80230dfd">= </span><span data-from-paste="1" data-diagnose-id="454ea28f57b2667d99b8d74c22de5cb3">A</span><span data-from-paste="1" data-diagnose-id="4ae376db69145308a03b9ba2dae2f230">, </span><span data-from-paste="1" data-diagnose-id="e6992a22cc6beab181d4873123e84c78">limg(j?) </span><span data-from-paste="1" data-diagnose-id="78b4f49520ba821b1dd81631d3f85c54">= </span><span data-from-paste="1" data-diagnose-id="dc23831fc8574855f7929a10b3174041">B</span><span data-from-paste="1" data-diagnose-id="da7489e58b5f1d73f4dc92859352423d">,</span><span data-from-paste="1" data-diagnose-id="609cc08683becd0f2f9a5e7662e985f3">则 </span><span data-from-paste="1" data-diagnose-id="e5083734517741ff72798425379c8b85">lim[/(j?) </span><span data-from-paste="1" data-diagnose-id="ceab13302398f7e652505767b3c50b46">士 </span><span data-from-paste="1" data-diagnose-id="7efe6483409da5a4c37973173fc2fac8">g</span><span data-from-paste="1" data-diagnose-id="4d6c3291e2a8972413e1bbbc38fc7eff">(</span><span data-from-paste="1" data-diagnose-id="26d7021fbb2346db60301d7857bcd0ea">H</span><span data-from-paste="1" data-diagnose-id="eb8848cba0d2f0579704ebc0a630cbe4">)</span><span data-from-paste="1" data-diagnose-id="a17e92a11e1857e33997e74dd32f70af">] </span><span data-from-paste="1" data-diagnose-id="a4dbe37bc346735fe42b9806fd0f2b72">= </span><span data-from-paste="1" data-diagnose-id="0e0d3c4cafe918204742a5295908fcbb">lim/(j?) </span><span data-from-paste="1" data-diagnose-id="ed64fc05539638d7a88ef5d54d5894bc">士 </span><span data-from-paste="1" data-diagnose-id="c0795acc29873a537693f50d51f4e057">limg(jc) </span><span data-from-paste="1" data-diagnose-id="4bd91520d1f0910ca760e5022a9fe484">= </span><span data-from-paste="1" data-diagnose-id="8dc14fb90714de4eb5200c6a9a56dd22">A </span><span data-from-paste="1" data-diagnose-id="c78ee50327c6649c81d55fb87828fc06">+ </span><span data-from-paste="1" data-diagnose-id="787445bb82a4bc27a8ae5ba4c7516e55">B </span><span data-from-paste="1" data-diagnose-id="e23cb0900ffbc338a3bf1d6d0df6068d">; </span><span data-from-paste="1" data-diagnose-id="9ee384ac8e5a5ec743ea8ed013497fcd">lim[/(jc) </span><span data-from-paste="1" data-diagnose-id="c536d554d54f122068d4fe188919713d"> </span><span data-from-paste="1" data-diagnose-id="0828fb869a891c15689dcef880cb9dce">g(j?)] </span><span data-from-paste="1" data-diagnose-id="06a8c8912c5f521813d603d629443800">= </span><span data-from-paste="1" data-diagnose-id="dc38ce7e0e3032774aeb57be38bc9aea">lim/(j</span><span data-from-paste="1" data-diagnose-id="518a8cc26b9dcb2ac2f5ac1d1e925010">:</span><span data-from-paste="1" data-diagnose-id="187a32452ae00517f2cf0337b3b58097">) </span><span data-from-paste="1" data-diagnose-id="3efa2c53231d3458fc8c4fa305e88332"> </span><span data-from-paste="1" data-diagnose-id="5077a96dc7146b1d053b5807e0ed6c62">limg(j?) </span><span data-from-paste="1" data-diagnose-id="08b6d1d0aac97f5f59d447e9ae9199de">= </span><span data-from-paste="1" data-diagnose-id="54ff48adb3dd2bd3d3e19083e028b04a">A </span><span data-from-paste="1" data-diagnose-id="a51f193eebe35adb5ffdc6822274da22"> </span><span data-from-paste="1" data-diagnose-id="3f88acd4db979e2fff53ea63dc64aeef">B</span><span data-from-paste="1" data-diagnose-id="f58b2e30f8fe2911563261318b1ee22a">; </span><span data-from-paste="1" data-diagnose-id="daaa06f6457102f46f28f2205d25c6a3">i. </span><span data-from-paste="1" data-diagnose-id="19edf384c6f3753bb8f1fec8c8c245d0">/(</span><span data-from-paste="1" data-diagnose-id="06cd1c880b8866f9cb8c3f57cf6b89d3">jc</span><span data-from-paste="1" data-diagnose-id="be91f4e06b1460c1f21495c3cac536eb">) </span><span data-from-paste="1" data-diagnose-id="47ea1fe7f6fa13abd5b16f73341a11d3">lim/(</span><span data-from-paste="1" data-diagnose-id="ea375ae50dbe3d00f099fcd687a8768d">j?) </span><span data-from-paste="1" data-diagnose-id="badc7d840ce08b2a7d1d438a00517a06">A </span><span data-from-paste="1" data-diagnose-id="3ea4fb3180e85be10756541c24e3c456">g(z) </span><span data-from-paste="1" data-diagnose-id="251cfc9e89c21668a671512acf0e896d">limg(jr) </span><span data-from-paste="1" data-diagnose-id="40dcf3b037f3c02b1c5d8a1e5bfdc1e8">B </span><span data-from-paste="1" data-diagnose-id="4e7af0c64ea528eaad2a1368bd75f506">(B </span><span data-from-paste="1" data-diagnose-id="af43bf916d629e946a38fa6111ccda31">工 </span><span data-from-paste="1" data-diagnose-id="4b3520d94c995c6688abd62117e96716">0). </span><span data-from-paste="1" data-diagnose-id="e8b1f6a810b46856323bf5ee9688fb62">推论</span><span data-from-paste="1" data-diagnose-id="4df23cf9fc926674ffd317771b32e5d5">(</span><span data-from-paste="1" data-diagnose-id="55e8a74d3607733210f83aa2c657ee72">1)</span><span data-from-paste="1" data-diagnose-id="23d9acee4c9341409ceb632d72d3d754">若</span><span data-from-paste="1" data-diagnose-id="0e391158c4fb51c557274479691a7865">lim/(x) </span><span data-from-paste="1" data-diagnose-id="58d226a8a5df1de700df3532a441fc2e">= </span><span data-from-paste="1" data-diagnose-id="ee45a6926477c5b39c39c2b57b16a736">A</span><span data-from-paste="1" data-diagnose-id="61a67c88f88172d899fc643bf57076a8">工</span><span data-from-paste="1" data-diagnose-id="b53eb75a9ad928a5169697b316319fd5">0,</span><span data-from-paste="1" data-diagnose-id="5f83e069a8cd7556050adc218aaeef90">则 </span><span data-from-paste="1" data-diagnose-id="f0bb4f67f3369dab32951abcf031eb78">lim/(j</span><span data-from-paste="1" data-diagnose-id="fb3f0e58916f30efd06a901f6426169a">:</span><span data-from-paste="1" data-diagnose-id="95cc15c94e0060e2a2ca5dc015206ca5">)g(</span><span data-from-paste="1" data-diagnose-id="3d5603eef8b97b509ddc6312bef7b389">j-) </span><span data-from-paste="1" data-diagnose-id="636a0c711e2ee89f5e5d1468aef5afb1">= </span><span data-from-paste="1" data-diagnose-id="c98493747e0f5dbfc4d7fad4b3ff5db1">A </span><span data-from-paste="1" data-diagnose-id="ab291461b4bd6d58dd96e24e03395046">limg(z)</span><span data-from-paste="1" data-diagnose-id="35eaa6a64250cd904ceb99483d7b8752">; </span><span data-from-paste="1" data-diagnose-id="b26d4490f87b9414ba29576257d88563">(即</span><span data-from-paste="1" data-diagnose-id="6e1f3e068be02a8f3792e377ffab0c1c">:</span><span data-from-paste="1" data-diagnose-id="fce279d5b324138df97bcc168478740c">极限非零的因子的极限可先求出来) </span><span data-from-paste="1" data-diagnose-id="2c433c38dc9315d701474bd9b8148f48">(2)</span><span data-from-paste="1" data-diagnose-id="97163996e68bd0ab98fad2e38aeb3497">若 </span><span data-from-paste="1" data-diagnose-id="9ef7279ca3261471a6a50678ee2327e6">lim </span><span data-from-paste="1" data-diagnose-id="06c9ec87adaa1517b8c03889709de59c">弓"?</span><span data-from-paste="1" data-diagnose-id="58c1cdc30a0a2b0ba322bc4317987a19">存在</span><span data-from-paste="1" data-diagnose-id="72bd6e77652d5c02abd11d5558ff158b">,</span><span data-from-paste="1" data-diagnose-id="663ccb90961d74066600a6bc888e17db">且 </span><span data-from-paste="1" data-diagnose-id="beabaa6a1948594ab9bf4d841ebc6c9a">limg(z) </span><span data-from-paste="1" data-diagnose-id="788ed002863b4996adeacabb094427bd">= 0,</span><span data-from-paste="1" data-diagnose-id="627680090f707a679c6293941b8103ac">则 </span><span data-from-paste="1" data-diagnose-id="e064d6d2fd2dfc76f998bc350df00d37">lim/(x) </span><span data-from-paste="1" data-diagnose-id="58558943b06a8da594dd08de07b85d63">= </span><span data-from-paste="1" data-diagnose-id="b94437226ef9218e9930dff464977262">0</span><span data-from-paste="1" data-diagnose-id="7831b3cfaa5924726f879ad7041666d3">; </span><span data-from-paste="1" data-diagnose-id="087df59d6dcbe26abd493d9075423ed6">(3)</span><span data-from-paste="1" data-diagnose-id="14350bf49dc34ff3405c217ba8660c3d">若 </span><span data-from-paste="1" data-diagnose-id="4e4fb67fe4f9035249885ba0f0a28828">lim </span><span data-from-paste="1" data-diagnose-id="3210351aface47ac3a0e756f09b510a0">Q"? = </span><span data-from-paste="1" data-diagnose-id="c7dc384e6137b5e51f312954fddc5cc4">A </span><span data-from-paste="1" data-diagnose-id="543e972cd0162975ee538c4cba1c6fd5">工 </span><span data-from-paste="1" data-diagnose-id="632a93f115dc260f6f5f71ebc77b19cf">0,</span><span data-from-paste="1" data-diagnose-id="dfec4e79cbbf74ebd45ae260940f11eb">且 </span><span data-from-paste="1" data-diagnose-id="d9a56056a8d9cd31fb2716b77ecf7ea1">lim/(j7</span><span data-from-paste="1" data-diagnose-id="0da5ffe287ce8c17398be64da43baa3a">)</span><span data-from-paste="1" data-diagnose-id="6ba1a6876c716e2cd9c772543b918400">= </span><span data-from-paste="1" data-diagnose-id="1423b73e2efad6680b5c39f8ebffdbb7">0,</span><span data-from-paste="1" data-diagnose-id="3b1ded0a624467e38ec3fb4a429bc5d6">则 </span><span data-from-paste="1" data-diagnose-id="671eddfc1c48a340a3123f23aa2d591a">limg(z) </span><span data-from-paste="1" data-diagnose-id="61c01d068cd3f8a38cabb64ab1eea332">= </span><span data-from-paste="1" data-diagnose-id="ec90227e19ae617474355cd06da37ff1">0. </span><span data-from-paste="1" data-diagnose-id="acd346533724b8824c2e8efd750afc58">g</span><span data-from-paste="1" data-diagnose-id="5decc6aefb5ce1893c3c82ce0a5d28b4">(</span><span data-from-paste="1" data-diagnose-id="60eb45afa3205a9d6609a45f5ab6f7ce">z) </span><span data-from-paste="1" data-diagnose-id="b3150d1a75852d37fa69a23586b7b70e">E9 </span><span data-from-paste="1" data-diagnose-id="f8cebeca12270ca6baea8934009fc83a">若 </span><span data-from-paste="1" data-diagnose-id="571ddf02fded4c7d38939b7e526856e3">lim/(jE</span><span data-from-paste="1" data-diagnose-id="80c0d40cd3c51d5db5f143d9dd9de6d6">)</span><span data-from-paste="1" data-diagnose-id="a08eb17e41ef768c81461e06876c0c79">存在</span><span data-from-paste="1" data-diagnose-id="155eb209f3910f345bac8f5f061092df">,</span><span data-from-paste="1" data-diagnose-id="1bb60e56bcc656903d0b679a0dddf19f">limg(j7</span><span data-from-paste="1" data-diagnose-id="39429d07010a6b1abe898f5b1d25d1e5">)</span><span data-from-paste="1" data-diagnose-id="2fe468e7d3b323f265c61d403f63c4d8">不存在</span><span data-from-paste="1" data-diagnose-id="3af38cb34809ece69737c70506f6b9a3">,</span><span data-from-paste="1" data-diagnose-id="cd1b19481340fcb231af6ac6c8ea5e79">JO'J </span><span data-from-paste="1" data-diagnose-id="4632522da77c9b3f3eba22069620021a">lim[/(j</span><span data-from-paste="1" data-diagnose-id="6e79e24518f08f2066cc0299a1e350aa">:</span><span data-from-paste="1" data-diagnose-id="6f9c169d8119de93767863f1e77a2a65">) </span><span data-from-paste="1" data-diagnose-id="a7758bc70040258e0365bdfd95bd7c60">土 </span><span data-from-paste="1" data-diagnose-id="7f8193e82d2dc56720beec9001fd6967">g(z)] </span><span data-from-paste="1" data-diagnose-id="c2dff27eef8f9825713df01137e7ac25">—</span><span data-from-paste="1" data-diagnose-id="8a0c9fa589dedcd7c8b3b9e7f72289c5">定不存在; </span><span data-from-paste="1" data-diagnose-id="4fc3d7af062d63a5973c5cf402116e72">若 </span><span data-from-paste="1" data-diagnose-id="d8dac693ad8426cf744728a6870a20f0">lim/(j;)</span><span data-from-paste="1" data-diagnose-id="2ff682a775dc603e12cdb4ba2fba321c">和 </span><span data-from-paste="1" data-diagnose-id="90d3c2c2b6a0de0e5c5e570ee167bca7">limg(z)</span><span data-from-paste="1" data-diagnose-id="56a882fe929606547b22108680957ed4">都不存在</span><span data-from-paste="1" data-diagnose-id="b8b23532ff517bd7189ce05529144f50">,</span><span data-from-paste="1" data-diagnose-id="d080e34943bad2b64b3965dbab2bd939">则 </span><span data-from-paste="1" data-diagnose-id="5fbf3978691a5bc441569e94f0cc27b2">lim[/(j?) </span><span data-from-paste="1" data-diagnose-id="13b07fc899f345945641054296beb5e1">±g(_z)]</span><span data-from-paste="1" data-diagnose-id="a0f61f782ab11e38c1644766116e0908">不</span></p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p style="margin-top: 1.4em;margin-bottom: 1.4em;color: rgb(18, 18, 18);white-space: normal" data-from-paste="1">今天给大家展示的是23年武忠祥《高数辅导讲义》PDF高清电子书,可以导入到平板或者在手机上在线观看,可以随时随地做笔记。大家也可以买纸质版的,感觉更佳。</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p style="margin-top: 1.4em;margin-bottom: 1.4em;color: rgb(18, 18, 18);white-space: normal" data-from-paste="1">这里是部分资料,完整版资料太大了,全部发到百家号特别费时费力。对不起大家,是我懒惰了。</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p style="margin-top: 1.4em;margin-bottom: 0px;color: rgb(18, 18, 18);white-space: normal" data-from-paste="1">需要完整版答案的可以看下面链接,里面有完整版资料的领取方式,而且有其他许许多多你需要的刚需资料。</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1" style="box-sizing: initial;max-width: 100%;color: rgb(51, 51, 51);orphans: 2;text-align: justify;text-indent: 0px;text-transform: none;white-space: normal;widows: 2;word-spacing: 0px;-webkit-text-stroke-width: 0px;text-decoration-style: initial;text-decoration-color: initial">高清无水印电子版PDF带目录可搜索 可复制 可打印</p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1" style="box-sizing: initial;max-width: 100%;color: rgb(51, 51, 51);orphans: 2;text-align: justify;text-indent: 0px;text-transform: none;white-space: normal;widows: 2;word-spacing: 0px;-webkit-text-stroke-width: 0px;text-decoration-style: initial;text-decoration-color: initial"><strong style="box-sizing: initial;max-width: 100%" data-from-paste="1" data-diagnose-id="3cf084d3dcf6a87ecb8cef39bd88501e">高清无水印电子版PDF:旗胜考研</strong></p><p></p></div><div class="index-module_textWrap_3ygOc index-module_newStyle_lg-fl "><p></p><p data-from-paste="1" style="box-sizing: initial;max-width: 100%;color: rgb(51, 51, 51);orphans: 2;text-align: justify;text-indent: 0px;text-transform: none;white-space: normal;widows: 2;word-spacing: 0px;-webkit-text-stroke-width: 0px;text-decoration-style: initial;text-decoration-color: initial"><strong style="box-sizing: initial;max-width: 100%" data-from-paste="1" data-diagnose-id="251a15564dcfdb0005aa4a4d09fc2685">考研电子书PDF网站:https://www.pdf2book.com/</strong></p><p></p></div><div class="index-module_mediaWrap_213jB index-module_newStyle_lg-fl "><div class="index-module_contentImg_JmmC0"></div></div><div class="index-module_mediaWrap_213jB"><div class="index-module_reportContainer_1LjGN"><span>举报/反馈</span></div></div></div>
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