Question: Let f(z) = e az . Use the limit : lim z 0 z e a z 1 = a to show that f'(z) =

Let f(z) = eaz . Use the limit : limz0zeaz1=a to show that f'(z) = aeaz .

Hint: Use ez1+z2=ez1z2 to show zf(z+z)f(z)=(zeaz1)eaz .

( so I am stucked at : eazlimz0zeaz1 . Do I set limz0zeaz1=a and say that it done?)

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