What value does lnx/(x-1) approach as x approaches 1
What value does lnx/(x-1) approach as x approaches 1
人气：464 ℃ 时间：2020-05-12 06:38:53
解答
lim (x趋于1) lnx/(x-1)
当x趋于1时,分子lnx,分母x-1均趋于0
应用洛必达法则：分子分母同时求导：
lim (x趋于1) lnx/(x-1)
＝lim (lnx)'/(x-1)'
=lim(1/x)/1
=1/1
=1
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