If f(x) = {((1)/(2)(sin x^2),x!=0),(0,x=...

If `f(x) = {((1)/(2)(sin x^2),x!=0),(0,x=0):}`, then

A

(a) `lim_(x to 0) f(x) = 1/2`

B

(b) f(x) is discontinuous at x = 0

C

(c) f(x) is continuous at x = 0

D

(d) none of these

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The correct Answer is:

C

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