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Let f(x)=x^(2)(e^(1/x)e^(-1/x))/(e^(1/x)...

Let `f(x)=x^(2)(e^(1/x)e^(-1/x))/(e^(1/x)+e^(-1/x)),x!=0 and f(0)=1` then-

A

`underset(xrarr0+)"lim"f(x)` doesn't exist

B

`underset(xrarr0)"lim"f(x)` doesn,t exist

C

`underset(xrarr0)"lim"f(x)` exist

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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