Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to show the following summation is true?

  1. Mar 31, 2015 #1
    I need to prove that the following summation is true:

    ∑(-1)^n * cos(nx) / n^2 = (3x^2 - π^2)/12

    How would I tackle this problem?
     
  2. jcsd
  3. Apr 1, 2015 #2

    Svein

    User Avatar
    Science Advisor

    Hint: [itex]\sum_{n=1}^{\infty}\frac{1}{n^{2}}=\frac{\pi^{2}}{6} [/itex]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: How to show the following summation is true?
Loading...