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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決
Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決 
微積分高手幫忙一下
Aug 24th 2013, 06:30

通分合併變成
lim_{x to 0} (x - ln(1+x))/(xln(1+x))

還是0/0的型式,用羅比達法則,上下分別對x微分,得到以下

原式 = lim_{x to 0} [1 - 1/(1+x)]/[ln(1+x) + x/(1+x)]
此時分子分母的極限都存在且分母不等於0,而分子是0

原式 = 0

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