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Consider f(x)={{:((x^(2))/(|x|)","x!=0),...

Consider `f(x)={{:((x^(2))/(|x|)","x!=0),(0","x=0.):}`

A

f(x) is discontinuous every where

B

f(x) is continuous every where

C

`f^(')(x)` exists in (-1,1)

D

`f^(')(x)` exists in (-2,2)

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The correct Answer is:
C
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  15. Which of the following function is differentiable at x=0?

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