Use the definition to show that f'(z) does not exist when f(z)=Re(z). Thanks!
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Originally Posted by LCopper2010 Use the definition to show that f'(z) does not exist when f(z)=Re(z). Thanks! In case the limit exists we have , so put : . Now, choose and make , so: , and now choose and make . Since the wanted limit depends on how the complex variable approaches the limit, and thus the derivative, doesn't exist. Tonio
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