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[高数141]求极限问题|利用等价无穷小替换和常见的极限
高等数学习题讲解 第141题 这是一道求极限问题, 我们利用了常见的2开n次方根极限值为1, 以及常见的等价无穷小替换求解.
高等数学(上)习题集123/264
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App04:45![[高数141]求极限问题|利用等价无穷小替换和常见的极限](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/3c63f99ea0e3441eb9c8fbdf1fc9070a~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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=m4K7uYymegjS5ApKejPj%2FCIYyoU%3D)
App05:11![[高数142]求极限问题|三种方法求无穷个无穷小量的和的极限](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/572c41cb33904509866bc34f52c7d29e~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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=M4kf8GZQRnIqa7ap62xmBe2VkTQ%3D)
App12:06![[高数143]求极限问题|两数列乘积的均值的极限为两数列极限的乘积](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/f84cb6d5302d449b8dd9571bad01b44c~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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=wiPTI4x4yYPn%2B212ijhyqUDfRYM%3D)
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App03:38![[高数151]求极限|等价无穷小替换+洛必达法则](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/cdbce3ca6c364027a11196fbe56ddde3~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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=Brfis1dUBwtyQYnUjvvfE2XlIEI%3D)
App03:46![[高数152]求极限|适当的化简可以减少洛必达法则的求导运算量](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/b9ad766927164691a886ad1d1903f452~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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=Yu3xe2aOkjzrAVt%2Fasp0nGV%2BEOs%3D)
App04:22![[高数153]求极限|抽象函数的极限问题](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/510026c31de548deada355844c5c465f~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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=kuxA6lPswPSnZAPNLpClVY%2BE54g%3D)
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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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=VykU3kwYqIjM1fhlBY7OxxtRxag%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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=4lVqovAFvubQg66INfxo9v3pB2Q%3D)
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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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=SkrIL4uKzkuA20qWHDYbY0zLihc%3D)
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App04:54![[高数165]隐函数的不定积分问题(2)](http://p3-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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=1ViX6ckmYeYSoxGeBQSL6IUkjGo%3D)
App04:31![[高数166]未知函数的不定积分](http://p26-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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=HPjDafw6Kz2ShgG4N1%2Fh77gZVF0%3D)
App03:09![[高数167]这种凑微分的方法也是少见](http://p3-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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=kTSGVa1MTG7WbopwpCcJ4lmbbqM%3D)
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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=20250309230228D300C10FDF731014923A&requestFrom=704&version_code=80402&x-expires=1773068549&x-signature=qvnHhLZbcuhw2PzWvi550ertG2U%3D)
App11:20
