(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Supposed f(z(0))=g(z(0))=0 and that f'(z(0)) and g'(z(0)) exist where g'(z(0)) is not equal to 0. Use definition (10, section 19 of derivative to show that :

lim z->z(0) (f(z)/g(z))=f'(z(0))/g'(z(0))

2. Relevant equations

definition 1: f'(z(0))=lim z->z(0) f(z)-f(z(0))/(z-z(0)

3. The attempt at a solution

f'(z(0))= lim (z->z(0)) f(z)-f(z(0))/(z-z(0))=f(z)-0/(z-z(0))=f(z)/(z-z(0)); Not sure where I should with with this proof. Help.

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# Homework Help: Analytic functions

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