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IF f(x) = {{:( (1)/(2) sin ^(2) x , "fo...

IF f(x) ` = {{:( (1)/(2) sin ^(2) x , "for " x ne 0 ),( 0,"for " x=0 ):},then ` at x=0

A

f (x) is not continuous

B

f(x) is not defferentiable

C

f(x) is not continuous and differentiable

D

f (x) is continuous but not differentiable

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The correct Answer is:
D
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