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!

Converging series

  1. Jan 21, 2009 #1
    1. The problem statement, all variables and given/known data

    Show that the following series converges:

    2. Relevant equations

    Sum of (from n=1 to infinity) of [3^n + 4^n] / [3^n + 5^n]

    3. The attempt at a solution

    Some help on this question would be much appreciated as i really don't know how to start it. Thanks
  2. jcsd
  3. Jan 21, 2009 #2
    What i would do is break the series into two. then by observing that:



    [tex]3^n+5^n>5^n=>... \frac{4^n}{3^n+5^n}<\left(\frac{4}{5}\right)^n[/tex]
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Converging series
  1. Series Convergence (Replies: 3)

  2. Convergence of series (Replies: 2)

  3. Series convergence (Replies: 26)

  4. Convergence of a series (Replies: 24)

  5. Series Convergence (Replies: 15)