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Homework Help: Starting a Taylor series problem, please help.

  1. Apr 25, 2006 #1
    Compute the Taylor series for f(x)= sq root (x) about x=1. Determine where the series sconverges absolutely, converges conditionally, and diverges. Hint: 2(k!)=2*4*6...(2k-2)*2k. Also 1<2, 3<4, 5<6,..., 2k-1<2k should help you out with a comparision.
  2. jcsd
  3. Apr 25, 2006 #2
    Use Taylor's theorem. [tex]f(x)=\sum_{n=0}^{\infty}\frac{f^{n}(a)*(x-a)^n}{n!}[/tex].
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