lim∞/0=? 的判斷

看板trans_math作者bil193 (丁丁)時間15年前 (2009/04/04 14:21)推噓1(1推 0噓 2→)

留言3則, 2人參與討論串1/3 (看更多)

給定： lim p(x)=∞ lim f(x)=0 x->a x->a 求lim p(x)/f(x)=? x->a 詳解寫：(以下的lim都是x->a，省略了) If lim p(x)=∞ and f(x)→0 through positive values, then lim p(x)/f(x)=∞. If f(x)→0 through negative values, then lim p(x)/f(x)=－∞. if f(x)→0 through both positive and negative values, then the limit might not exist. ==================================================== 請問各位先進，f(x)→0 through positive values是什麼意思啊？我猜想是"由正值逼近0"；所以另一個是"由負值逼近0"。但最後它寫"由正負值逼近0，極限值便不存在" 是啥鬼??@@ 有沒有好心人願意幫忙一下這個看原文詳解卻看不懂的窘境.... -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 124.6.13.94

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keith291

04/04 14:50, , 1^F

04/04 14:50, 1^F

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keith291

04/04 14:51, , 2^F

04/04 14:51, 2^F

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bil193

04/04 17:45, , 3^F

04/04 17:45, 3^F