lim→0 1+x/1-e^x-1/x
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lim→0 1+x/1-e^x-1/x
lim(x->0)[ (1+x)/(1-e^x)- (1/x) ]
=lim(x->0) (x+x^2 -1+e^x)/[ x(1-e^x)] (0/0)
=lim(x->0) (1+2x +e^x)/( 1-e^x- xe^x) (0/0)
=lim(x->0) (2 +e^x)/( -2e^x- xe^x )
=-3/2
=lim(x->0) (x+x^2 -1+e^x)/[ x(1-e^x)] (0/0)
=lim(x->0) (1+2x +e^x)/( 1-e^x- xe^x) (0/0)
=lim(x->0) (2 +e^x)/( -2e^x- xe^x )
=-3/2
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