- #1

nomadreid

Gold Member

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## Main Question or Discussion Point

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

_{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?