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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

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

B

f(x) is discontinuous at x = 0

C

f(x) is continuous at x = 0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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