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

  • Thread starter nomadreid
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nomadreid
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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 |an/an+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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  • #2
pwsnafu
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What am I doing wrong?
We can't answer that unless you write your calculations.
 
  • #3
nomadreid
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Thanks for replying: I don't usually do that: send in the mail without checking first and of course without putting down my calculations, but I was about to head off to commute to give my course and noticed the anomaly, so I shot off the mail, but found the error while waiting for the bus. My apologies for the panic.
 

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