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Find series given values of derivatives

  1. Jul 1, 2007 #1
    1. The problem statement, all variables and given/known data
    All you know about a function f[x] is:
    f[0]=2, f '[0]=6, and f ''[0]=-8.
    Write down the expansion of f[x] in powers of x through the x^2 term

    2. Relevant equations

    3. The attempt at a solution

    I think the answer is 2 + 6x - 4x^2 , I just don't have any way to check so I want someone to confirm this.
  2. jcsd
  3. Jul 1, 2007 #2


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    Science Advisor
    Homework Helper

    What you've written down certainly works.
  4. Jul 1, 2007 #3
    thanks a lot
  5. Jul 1, 2007 #4


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    Staff Emeritus
    Science Advisor

    You certainly can check it yourself! If f(x)= 2+ 6x- 4x2, what is f(0)? What is f'(0)? What is f''(0)?
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