I encountered this beautiful theorem and then I tried hard to prove it using ordinary algebraic methods and my understanding of calculus without involving real analysis in it but I didn't succeed. The theorem states that if f is an analytical function at some point x=a then f(adsbygoogle = window.adsbygoogle || []).push({}); _{-1}has the following Taylor series:

How can I prove this formula?

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# Lagrange inversion theorem

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