1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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.

    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

    User Avatar
    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) ]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted