When I use the calculation from Wikipedia that says that the radius of convergence of a series is lim as n goes to infinity of |a(adsbygoogle = window.adsbygoogle || []).push({}); _{n}/a_{n+1}|, I get for the Taylor series expansion of ln(x) around a=2 the answer of an infinite radius of convergence, which would mean that it would be valid everywhere, which would not make sense. What am I doing wrong?

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# Radius of convergence around a=2 for ln(x)

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