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Power series of ln(1+x)

  1. May 1, 2010 #1

    are the following power series equivalent?

    ln(1+x)=[tex]\sum_{n=0}^{\infty} \frac{(-1)^n n! x^{n+1}}{(n+1)!}[/tex]
    =[tex]\sum_{n=0}^{\infty} \frac{(-1)^n x^{n+1}}{n+1}[/tex]
  2. jcsd
  3. May 1, 2010 #2
  4. May 1, 2010 #3


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    [tex]\frac{(-1)^n n! x^{n+1}}{(n+1)!}=\frac{(-1)^n x^{n+1}}{(n+1)!/n!}=\frac{(-1)^n x^{n+1}}{(n+1)}[/tex]
  5. May 1, 2010 #4
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