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The right hand and left hand limit of th...

The right hand and left hand limit of the function `f(x)={{:((e^(1//x)-1)/(e^(1//x)+1)","," if "xne0),(0","," if "x=0):}` are respectively

A

continuous as well differentiable at x =0

B

continuous but not differentiable at x =0

C

differentiable but not continuous at x =0

D

none of these

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The correct Answer is:
D
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  9. The function f(x)=|x|+(|x|)/(x) is

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  17. The value of b for which the function : f(x) = {{:(5x-4,"if",0lt x le ...

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  18. If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,...

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