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Simple question about Integral Test

  1. May 15, 2008 #1
    Hi all,
    I just want to know a little something:
    When doing the integral test in order to find a sum, when might get a result (integral) of a certain number. As we know, getting a number as result an integral test means that this serie converges...but does that mean that the serie converges to this (the result of the integral...number we just found)?
    I don't think so, but I'm not sure either.

    Thanks for the info
  2. jcsd
  3. May 15, 2008 #2
    No it does not.
  4. May 15, 2008 #3
    Thanks for the fast reply dude!

    If that number is not the sum, does it represent something?
    (just outta curiosity)
    Thank you
    Last edited: May 15, 2008
  5. May 15, 2008 #4


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    Homework Helper

    It is a first approximations of the sum.
    For example say we desired to know
    other integrals can be used for better approximations
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