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The function f defined as f(x) = {{:((si...

The function f defined as `f(x) = {{:((sin x^(2))/x ,x!=0 ),( 0 , 0):}` is :

A

Continuous and differentiable at x = 0

B

Neither continuous nor differentiable at x = 0

C

Continuous but not differentiable at x = 0

D

None of the above

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The correct Answer is:
A
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