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

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

A

(a) `lim_(x to 0^(+)) f(x) = 1`

B

(b) `lim_(x to 0^(-)) f(x) = -1`

C

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

D

(d) f(x) is discontinuous at` x = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
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