What value does lnx/(x-1) approach as x approaches 1
3个回答
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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