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Math Help - power series

  1. #1
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    power series

    i mostly know how to do these, but i don't know what to do for a specific problem.
    i did the ratio test and took the limit as n goes to infinity, and ended up with
    x+5. to find the radiance of convergence, everything i've seen is about x-a, nothing about what to do with x+a. could i just change it to x-(-5)? or is there something special that needs to be done?
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  2. #2
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    Quote Originally Posted by isuckatcalc View Post
    i mostly know how to do these, but i don't know what to do for a specific problem.
    i did the ratio test and took the limit as n goes to infinity, and ended up with
    x+5. to find the radiance of convergence, everything i've seen is about x-a, nothing about what to do with x+a. could i just change it to x-(-5)? or is there something special that needs to be done?
    |x+5| <  1

    -1 < x+5 < 1

    -6 < x < -4

    check the endpoints in the nth term for possible inclusion in the interval of convergence.
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