1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

  1. Nov 3, 2011 #1
    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?
     
  2. jcsd
  3. Nov 4, 2011 #2

    pwsnafu

    User Avatar
    Science Advisor

    We can't answer that unless you write your calculations.
     
  4. Nov 4, 2011 #3
    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Radius of convergence around a=2 for ln(x)
  1. X ln(x) (Replies: 1)

  2. Ln(x) =f(x) (Replies: 2)

  3. Ln(x) or log(x)? (Replies: 17)

Loading...