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Homework Help: Series Proof help!

  1. Apr 3, 2012 #1
    (1) Show that |ln 2 - ƩNn=1 ((-1)n-1)(1/n)| ≤ 1/(N+1)
    (2) Show that |sin x - ƩNn=0 ((-1)n)/(2n+1)!| ≤ |x|2N+2/(2N+2)!

    I really don't know where to start. should I change the sums to series first then work my way through? Please help!
  2. jcsd
  3. Apr 3, 2012 #2


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    Those are alternating series. The error bound is just the next element of the series.
  4. Apr 3, 2012 #3
    ohhhhh wow now i see. thanks so much!
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