For the function f(x) = f(x)={((e^(1//...

For the function
`f(x) = f(x)={((e^(1//x)-1)//(e^(1//x)+1),xne0),(0,x=0):} x=0, which of the following is correct :

A

`lim_(x rarr 0)` f(x) does not exists

B

`lim_(x rarr 0)` f(x)=1

C

`lim_(x rarr 0)` f(x) exists but f(x) is not continuous at x = 0

D

f(x) is continuous at x = 0

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The correct Answer is:

C

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