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If f(x)={:{((x)/(|x|)", for " x!=0),(c",...

If `f(x)={:{((x)/(|x|)", for " x!=0),(c", for " x=0):}`, then f is

A

continuous at `x=0`

B

discontinuous at `x=0`

C

continuous if `f(0)=1`

D

continuous if `f(0)=-1`

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Verified by Experts

The correct Answer is:
B
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