Question

lim(1/x-1/e^x-1)x趋向于0+

Answer 1

lim(1/x-1/e^x-1)x趋向于0+

=lim(x->0+)(e^x-1-x)/x(e^x-1)

=lim(x->0+)(e^x-1-x)/x²

=lim(x->0+)(e^x-1)/2x

=lim(x->0+)(e^x)/2

=1/2