Please have a look at this question:
Prove that limit, as z tends to a, of (z^2 +c) = a^2 + c
The question is trivial to solve using the theorem that the limit of a polynomial in the set of complex numbers at a is P(a) or even using the theorems about the limits of f(x) + g(x) and limit of f(x)*g(x) where both f(x) and g(x) have limit at a.
However I have to solve it using the epsilon delta definition of limit of complex functions i.e. given an epsilon, show that a delta can be constructed which would confine the mod of [f(x) - (a^2+c)] within the given epsilon. Despite several attempts, I have failed. Please can someone help?