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If f(x)={:{((|x|)/(x)", for " x!=0),(1",...

If `f(x)={:{((|x|)/(x)", for " x!=0),(1", for " x=0):}`, then

A

`underset(x rarr 1^(-))lim f(x)=1`

B

`underset(x rarr 1^(+))lim f(x)=-1`

C

f is discontinuous at origin

D

f is continuous at origin

Text Solution

Verified by Experts

The correct Answer is:
C
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