f(x)=2-x, x<-1

x, -1<=x<1

(x-3)^2, x>=1

Find all the values of a for which lim(x approachesa) f(x) exists. Express answer in interval notation.

Please correct me if I'm wrong. I think thatacan exist for the first function becase the limits approaching from the left and right are the same. Same goes for the last function. But what about the middle function?

Thank you, I appreciate any help!