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

Let f be analytic function on |z|<= R and lim fn(z)( the nth derivative) = f(z) uniformly in |z| <=R. Show that f(z) = c* exp(z)

2. Relevant equations

3. The attempt at a solution

I tried the power series expansion but I couldn't prove it

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# Successive derivative of analytic function

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