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Estimating error using comparison/limit comparison test

  1. Apr 11, 2008 #1
    I am confused about the right formula for this. Is it

    [tex] R_{n} \leq T_{n} \leq\int_{n+1}_{\infty} [/tex] or [tex]R_{n} \leq T_{n} \leq\int_{n}_{\infty} [/tex]?

    Say for example, I want to estimate the error in using the sum of the first 10 terms to approximate the sum of the series.

    The textbook seems to use both methods (Use n for the p-series and n+1 for the geometric series)

    (as seen in the examples here)


    and I am quite confused which it is the right way. I am wondering if someone could clear this up for me. Thanks!
  2. jcsd
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