The following is an epsilon-delta proof that  Fill in the missing parts.Proof By Definitio...

The following is an epsilon-delta proof that  Fill in the missing parts.

Proof By Definition,  if for every ε > 0 there is a δ > 0 such that |_______| < ε whenever 0 < |_______| < δ. Setting δ = will ensure that the previous statement is true.

DEFINITION Limit of a Complex Function

Suppose that a complex function f is defined in a deleted neighborhood of z0 and suppose that L is a complex number. The limit of f as z tends to z0 exists and is equal to L, written as  if for every ε > 0 there exists a δ > 0 such that |f(z) − L| < ε whenever 0 < |z − z0| < δ.