The function f(x)={{:(,(e^(1/x)-1)/(e^(1...

The function `f(x)={{:(,(e^(1/x)-1)/(e^(1/x)+1),x ne 0),(,0,x=0):}`

A

(a) `lim_(x to 0^(+))f(x) = -1`

B

(b) f(x) is continuous at` x = 0`

C

(c) `lim_(x to 0^(-))f(x) = 1`

D

(d) f(x) is not continuous at` x = 0`

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The correct Answer is:

D

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