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

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

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

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