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If f(x) = {(sin^(-1)|x|,",","when" x != ...

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

A

`lim_(x to 0^(+)) f(x) != 0`

B

`lim_(x to 0^(-)) f(x) != 0`

C

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

D

f(x) is not continuous at` x = 0`

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The correct Answer is:
C
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