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 Problem!

  1. Jul 20, 2011 #1
    a) Determine the series of the given function. In the first box after the summation symbol, type in -1 or 1 indicating whether the series is alternating or not.
    b) Write out the sum of the first four nonzero terms of the series representing this function.
    c) Determine the interval of convergence. The outside boxes require the endpoints and the inside boxes require the symbol < or <=.

    I already got a.) which is sum from n=0 to infinity [ (-1)^n *(x/sqrt(6))^(2n+1) ] / (2n+1)
    I think I got b.) not too sure if this one is right but i got (x/sqrt(6))-(x^3/(3*6^(3/2)))+(x^5/(5*6^(5/2)))-(x^7/(7*6^(7/2))).
    And so I just need someone to check b for me and I dont even know what to do for the interval of convergence.
  2. jcsd
  3. Jul 20, 2011 #2
    What's the original function?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Power Series Problem Date
I Power series - Different problem Mar 28, 2017
I Power series Mar 28, 2017
I Power series ratio test Jun 11, 2016
I Square Root in an alternating power series Apr 24, 2016
Cycloid power series. problem from hell. Dec 9, 2007