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!

Homework Help: Sum to Integral

  1. May 10, 2008 #1
    1. The problem statement, all variables and given/known data
    Show that each limit is a definite integral.
    [tex]Lim (n \rightarrow \infty) [/tex] of [tex]\sum \frac{n}{n^{2}+i^{2}} [/tex] from [tex]i=1[/tex] to [tex]n[/tex]

    2. Relevant equations
    [tex]Lim (n \rightarrow \infty) [/tex] of [tex]\sum f(c)\Delta X [/tex] from [tex]i=1[/tex] to [tex]n[/tex]

    3. The attempt at a solution

    I can't really get this started, so any help at all would be great.

  2. jcsd
  3. May 11, 2008 #2
    Try multiplying by [tex]\frac{\frac{1}{n^2}}{\frac{1}{n^2}}[/tex].
  4. May 11, 2008 #3


    User Avatar
    Science Advisor

    What do you think [itex]\Delta x[/itex] should be?

    (My hint is really the same as foxjwill's.)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook