If a function f(x) is defined as f(x)=xx2 ,x≠00, x=0 then

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f(x) continuous at x=0 but not differentiable at x=0

f(x) is continuous as well as differentiable at x=0

f(x) is not continuous at x=0

f(x) is continuous everywhere

answer is C.

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Detailed Solution

fx=xx2 , x≠00 , x=0=x|x|, x≠00, x=0 ∴f(x) is not continuous at x=0=1 , x>0−1 , x<00 , x=0

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