Homework Statement
Use the definition of a limit to show that
lim (z^{2} +c) = z_{0}^{2} +c as {z->z_{0}}Homework Equations
Definition of a limit:
|f(z)-L|< epsilon if
0<|z-z0|< delta The Attempt at a Solution
|(z^{2}+c )-(z_{0}^{2}+c)| = | z^{2}-z_{0}^{2}|= |(z-z_{0})(z+z_{0}) | <...