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[高数156]求极限问题|利用Taylor公式求极限(2)
高等数学习题讲解 第156题
高等数学(上)习题集138/264
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App08:49![[高数156]求极限问题|利用Taylor公式求极限(2)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/98b404e2f7f1445893bbecb05bfe681d~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=ovw%2BZ5wOIrG2oTSo3o43oiM8yAY%3D)
App05:56![[高数157]求极限问题|利用Taylor公式求极限(3)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/fb0283b451834da1b9c47bfda4440861~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=5o%2B815g4qh%2Bt2pNj6%2FvHwlCCHZ0%3D)
App05:04![[高数158]求极限问题|利用定积分的定义(1)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/2f6e428f68e24585a7da00dfdca6b1c7~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=vb2cZySywb84kh%2BLlJLbDaPi%2FAo%3D)
App05:27![[高数159]求极限问题|利用定积分的定义(2)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/dc1310def2a0443fafb523f9aaf41976~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=Ik5cz9%2B7ws3VzufMZWuLaFHCh1M%3D)
App04:55![[高数160]求极限问题|利用定积分的定义+两边夹准则](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f96cf433f4544601b0151dfae40065de~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=HgdxJaexHAPRjlX%2F%2FRbwRMN8DpE%3D)
App05:55![[高数161]一道利用不定积分求函数表达式的题目](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/bd66185e4f5e400d81d79608a7a06c09~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=6ZdwgWwobKx2E0fSyWYjLkbrz8g%3D)
App07:13![[高数162]被积函数是分段函数的不定积分问题](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/36c2dcd42eb54ed6b3947e1e3cb82a71~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=tKMSIuX2UK7V0nBZ25XJtkTGXmU%3D)
App04:09![[高数163]被积函数带绝对值的不定积分问题](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/1e7bd3e72231482eb40ce7bc023a884c~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=5OihlUcuWsqmjZCtT%2FPK6Mv5R1E%3D)
App03:49![[高数164]隐函数的不定积分问题(1)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/16d57214be694c16b18ddcb17ab232b5~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=upTTfWC17hKemtn%2FEmLxrhGPS%2Fo%3D)
App04:54![[高数165]隐函数的不定积分问题(2)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/bfeb34fd42b245c2b43bf283fabaac14~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=wMeOIS10o51JKAAR%2Fipkzc9LEj0%3D)
App04:31![[高数166]未知函数的不定积分](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/ddd321a2c39a446cb223b4153af9aa4a~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=Crv%2FGaJqqqzYRNzWBrxR54qtsEw%3D)
App03:09![[高数167]这种凑微分的方法也是少见](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/6420bd1330fd4bb280024435e2b370ab~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=VuXgtKOIRD3kiF7NPXyAQO9rX%2FY%3D)
App04:48![[高数168]有道不难但复杂的题](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/94e15bf1e7884823982cd17080a8ec4b~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=adC826gOduZkGbd45rBnUySrkmg%3D)
App08:08![[高数169]先倒代换后根式代换](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/76d32cdc203244d4bfe117ab240d0cf6~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=KFZU0wi2RAkk3LbWRviwiBhOlF4%3D)
App07:09![[高数170]题目简洁但解答过程复杂](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/0e5398a781cf4715ae99c4bdb49de1b2~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=f3wsn8bFwNGsPQ79pfg4IUZRTwI%3D)
App11:20![[高数171]注意观察被积函数的特点](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/8376261b53c44289aa4bb0bbf724d157~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=ooCJE6nUFaOHUeFm5h1QaZ%2FCS7Y%3D)
App02:39![[高数172]见招拆招|遇水搭桥|逢山开路](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/8afdf78dcc004f0686158fab4374e3b1~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=6xHJRg5OkCDvtoaymISZIaoX0%2Fg%3D)
App05:34![[高数173]这样子的被积函数可以使用根式代换](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/9c1d68c58ab84829834200c0a438e2aa~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=0A4VKgIqvz1eWjUPjiKcBJ0p9Aw%3D)
App08:42![[高数174]三角函数的不定积分|三角公式很重要 (1)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/008446c617d34ec7a4c7a1e5055448e0~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=17wGGCpnRdBzqWjb0fYwtojqvkI%3D)
App02:20![[高数175]三角函数的不定积分|三角公式很重要 (2)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/5af14b80a1114bb4a196fdc8d4aba75d~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=leDXjtiiFs3LwboQQ03do3%2B%2BdvA%3D)
App01:57![[高数176]三角函数的不定积分|三角公式很重要 (3)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/07dde814583b433bbfcd623611082387~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=P5gzjErL%2FaGzC7KJvprSEJId8q8%3D)
App03:06![[高数177]三角函数的不定积分|三角公式很重要 (4)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/6c2323be51094d69b65c6573a83c6e33~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=dg8YFufUtI%2BkkcPQ6R1LAD4lTzM%3D)
App04:16![[高数178]三角函数的不定积分|三角公式很重要 (5)](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/7299bb1d65a147968201d509883b6d4e~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=wpM85pvLWMlE5FD3TW30GKYUMRw%3D)
App05:22![[高数179]三角函数的不定积分|三角公式很重要 (6)](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/0921484550ba48ba980761c07fa2861b~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=YJIllyhhPqkaaFPc8B0q0OrP9hA%3D)
App04:38![[高数180]不看答案我得想很久](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/c54177f0ac484b668b99c9704c9d92b6~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250309232212CD2458358B046E502592&requestFrom=704&version_code=80402&x-expires=1773069733&x-signature=EXPH3AZTozjdQm1fVUDsSeLYbPs%3D)
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