In this problem we will develop an epsilon-delta proof that (a) Write down the epsilon-del...

In this problem we will develop an epsilon-delta proof that

(a) Write down the epsilon-delta definition (Definition) of  

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(b) Factor out (1 − i) from the inequality involving ε (from part (a)) and simplify. Now rewrite this inequality in the form |z − (1 + i)| < _______.

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(c) Based on your work from part (b), what should δ be set equal to?

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(d) Write an epsilon-delta proof that

DEFINITION Limit of a Complex Function