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Maclaurin series

  1. Nov 15, 2004 #1
    Im helping my sis study for her exam but i can't remember how to find the first four non-zero terms of the maclaurin series
     
  2. jcsd
  3. Nov 15, 2004 #2
    I believe the the Maclaurin Series is given by the equation

    [tex]

    f(x) = f(0) + f'(0)x + \frac{f''(0)x^2}{2!} + \frac{f'''(0)x^3}{3!} + \frac{f^(4) (0)x^4}{4!} + ... + \frac{f^(n) (0)x^n}{n!} + ...

    [/tex]

    So in order for you to know the first four terms of the series, you need to know what [tex] f(a), f'(a), f''(a) [/tex] and [tex] f'''(a) [/tex] and then plug in a=0 in their respective formulas/equations.

    Then just plug them in the equation of the Maclaruin Series.

    Hope this helps. :biggrin:
     
  4. Nov 16, 2004 #3
    the first four non-zero terms will then be for those terms for which fn(0) is not zero.
     
  5. Nov 16, 2004 #4
    Oh yeah, forgot about that. When using the formula, if any of the terms you encounter are zero, you must proceed to the next and check if it is non-zero. Ex: If [tex] f''(0) = 0 [/tex] then you must proceed and check whether [tex] f'''(0) = 0 [/tex] and so on
     
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