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Simplify error estimates

  1. Oct 13, 2015 #1
    1. The problem statement, all variables and given/known data
    Simplify: 1/k [(k-1) x_n+ x^k/(x_n^(k-1) )]- 1/k [(k-1)x+ x^k/x^(k-1) ] where e_n = x_n - x

    x_n means x subscript n
    e_n means e subscript n

    It might be easier to look at the picture I typed out in MS Word.
    https://www.flickr.com/photos/135306726@N08/22156107431/in/dateposted-public/

    2. Relevant equations


    3. The attempt at a solution
    I only got [(k-1)/k]e_n + x^k/k (1/x_n^(k-1) - 1/x^(k-1))

    Please help!
     
  2. jcsd
  3. Oct 13, 2015 #2
    Please help!
     
  4. Oct 13, 2015 #3

    Ray Vickson

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    Science Advisor
    Homework Helper

    Help how? What is wrong with your solution? (I have not checked the details, so you will need to tell me!)
     
  5. Oct 13, 2015 #4
    It needs to be simplified into some form of e_n, so that I can use it to determind if it will converge.
     
  6. Oct 13, 2015 #5
    e_(n+1) = x_(n+1) - x
    = 1/k [(k-1) x_n+ x^k/(x_n^(k-1) )]- 1/k [(k-1)x+ x^k/x^(k-1) ]
     
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