find the limit of function?
回答 (1)
2015-10-24 8:21 am
✔ 最佳答案
as x → 0+ln x / ln [ ln(1+x) ]
→ (1/x) / { [ 1 / ln(1+x) ] * [ 1/(1+x) ] } , by the L'hopital rule
= (1+x) * ln(1+x) / x
→ [ ln(1+x) + (1+x)/(1+x) ] / 1 , by L rule
= ln(1+x) + 1
→ 1 ..... Ans
收錄日期: 2021-05-02 14:09:35
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