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Homework Help: Calculus 2 interval of convergence -- checking end points

  1. Jul 27, 2015 #1
    1. The problem statement, all variables and given/known data
    [PLAIN]http://email.photobucket.com/wf/click?upn=tRCgAMfEfk8moxY0TjPC4lPPM0sXOKwutyIq47CMTKs0dzyywVYzTaMWH8-2Bzo5-2FsAT1hSn2u8nhtTlXRVI-2BDs3dbLwqV7FVPJZdCfwS6qDorV0c-2Blq6XRnrVUYsLffi2id9Ma4XDGYssMtivke9T0A-3D-3D_whPbjyDNqQqG-2FABCOAcFDhlciHlWVosDuzGNcx8ulLn1XPsw3RItB9a0ZKzbWUjhD5QN0BjKqPT3p-2FFMYnHwCHkxJ8U7UgTdccAw-2BQNDt-2FWYcVOcGYWyPrDnhFZ4wxeKwtHSMH-2FU0Ev-2FD82L-2F5FVMYpPr42BkMfKA0c7B9UFHMZbfml3RpIMxX73T-2BjugVi6TYP6-2BFgjtfKZemv5vG8xCDZrA74p9b7HQm1E0kHNLeQDGCyjMm4HzzVR9GA23nwt [Broken]
    2. Relevant equations

    Ratio test

    3. The attempt at a solution

    I found the interval of convergence. I'm having a hard time finding the correct test to make sure my end points either converge or diverge. I attached a picture of my work. Some hints would be greatly appreciated.
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Jul 27, 2015 #2

    Ray Vickson

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    Your photo is unreadable on my screen. Please type it all out (as per PF standards), but if you still insist on posting an image, at least work at making it usable.
    Last edited by a moderator: May 7, 2017
  4. Jul 27, 2015 #3
    I tried to go back and edit the post but was unable to. This link should work for the problem


    thanks for the heads up.
  5. Jul 27, 2015 #4


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    If x is negative, then you have an alternating series.
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