lim(x趋向1)(e-e^x)/(x-1)=

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lim(x趋向1)(e-e^x)/(x-1)=lim(x趋向1)(e-e^x)/(x-1)=lim(x趋向1)(e-e^x)/(x-1)=运用罗必塔法则:(e-e^x)''/(x-1)''=(-e^x)/

lim(x趋向1)(e-e^x)/(x-1)=
lim(x趋向1)(e-e^x)/(x-1)=

lim(x趋向1)(e-e^x)/(x-1)=
运用罗必塔法则:
(e-e^x)'/(x-1)'=(-e^x)/1=-e^x
令x=1,-e^x=-e
lim[(e -e^x)/(x-1)]=-e

lim(x趋向1)(e-e^x)/(x-1)=lim(x趋向1)(-e^x)/1=-e