Let g be defined on the Reals by g(1) = 0, and g(x) = 2 for all x not equal to 1. Let f(x) = x + 1 for all x in the Reals. Show that lim(as x->0) of g(f(x)) does not equal g(f(0)).
I don't know how to go about proving this, so any help is much appreciated. Thanks!