If f(x) is a power series on S = (a-r, a+r), we should be able to expand f(x) as a taylor series about any point b within S with radius of convergence min(|b-(a-r)|, |b - (a + r)|)(adsbygoogle = window.adsbygoogle || []).push({});

Does anyone have a proof of this or a link to a proof? I have seen it proved using complex analysis, but I would like to see a proof that uses only concepts from real analysis.

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# Taylor series expansion of a power series.

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