What value does lnx/(x-1) approach as x approaches 1What value does lnx/(x-1) approach as x approaches 1

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Whatvaluedoeslnx/(x-1)approachasxapproaches1Whatvaluedoeslnx/(x-1)approachasxapproaches1Whatvaluedoe

What value does lnx/(x-1) approach as x approaches 1What value does lnx/(x-1) approach as x approaches 1
What value does lnx/(x-1) approach as x approaches 1
What value does lnx/(x-1) approach as x approaches 1

What value does lnx/(x-1) approach as x approaches 1What value does lnx/(x-1) approach as x approaches 1
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

你好,答案就是1吧~
·由洛必达法则得:lnx/(x-1)在x趋向于1的时候=1/x(x=1)=1

祝你好运O(∩_∩)O~

你去好好学一下洛必达法则吧。