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Homework Help: Taylor Expansion Problem

  1. Apr 13, 2010 #1
    1. The problem statement, all variables and given/known data

    Use the taylor's expansion of f(x)= x1/4 about x= 16 to estimate (16.1)1/4



    2. Relevant equations
    Taylors formula: f(a) + f'(a) (x-a) + (f''(a)/2!) (x-a)2+......


    3. The attempt at a solution

    Ok I have calculate the taylor expansion to be: 2 + (1/32) (x-16)-(3/320) (x-16)2+ (7/262144) (x-16)3

    I just don't know what to do after this - do i just substitute 16.1 into the value for x in the taylor expansion I have just found?
     
  2. jcsd
  3. Apr 13, 2010 #2

    lanedance

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    Homework Helper

    yep - then check whether you're close with a caclulator
     
  4. Apr 14, 2010 #3
    thanks it works
     
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