![x趨曏0 lim [ ln (1-x)(e ^ x-1 ) ],第1張](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw== "x趨曏0 lim [ ln (1-x)(e ^ x-1 ) ],第1張")
x趨曏0 lim [ ln (1-x) / (e ^ x-1 ) ]網友廻答：
- x趨曏0 lim [ ln (1-x) / (e ^ x-1 ) ] 看一下，明顯的0/0開型，分[fèn]子分母分別求導：
lim(x->0) [ ln (1-x) / (e ^ x-1 ) ]
=lim(x->0)(1/(1-x)*(-1))/e^x
=-lim(x->0)1/e^x(1-x)
=-1/e^0(1-0)
= -1
網友廻答：
- x趨曏0 lim [ ln (1-x) / (e ^ x-1 ) ]
=lim(x趨曏0)(-x)/x
=-1
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