Question:
Find delta
Let f: D -> R and g: D->R where D is an open interval that contains the point c and let f and g be functions that are defined on D except possibly at point c.
Suppose that limit_(x->c) f(x) exists and that limit_(x->c) g(x) does not exist.
Define the function h(x) = f(x) + g(x).
Prove that limit_(x->c) h(x) does not exist.