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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_(xto0+)f(x)ne0`

B

`lim_(xto0-)f(x)ne0`

C

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

D

None of these

Text Solution

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The correct Answer is:
C
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