Question

||*+1, x<0
If f(x)=0, x=0.
||*/-1, x > 0
For what value (s) of a does lim f (x) exists?​

Answer 1

a can take all real values except 0.

Since Left hand limit of f(x) at x = 0 is not equal to Right hand limit of f(x) at x = 0.