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

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

A

f(0 + 0) = 1

B

f (0 − 0) = 1

C

f (x) is continuous at x = 0

D

None of the above

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The correct Answer is:
C
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