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Alternating Series Partial Sum

  1. Mar 13, 2009 #1
    Can anyone help me out with calculating the partial sum of an alternating series? For example, how would I find the sum correct to 4 decimal places of:


    What I tried was finding how many terms it would take the have an error that was < .0001 then found the sum with that many terms... I got 0.10969 as the partial sum using 4 terms.
  2. jcsd
  3. Mar 13, 2009 #2
    Note that


    which can be obtained from the geometric series by computing the derivative and multiplying by x. Hence

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