Evaluate limx→0+e1√x⋅(1−√x)1x
I tried using limx→0(1+x)1x=e
like so:
l=limx→0+e1√x⋅[(1+(−√x))−1√x]−1√x=limx→0+e1√x−1√x=e0=1
However, the right answer is 1√e. Why is it that the whole expression in square brackets can't be taken as e in this case?
Evaluate limx→0+e1√x⋅(1−√x)1x
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