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!

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


    User Avatar
    Science Advisor
    Homework Helper

    [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
    He's everywhere I want to be!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook