Series Proof help!

  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. Dick

    Dick 25,893
    Science Advisor
    Homework Helper

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