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Math Help - Calculus: Multiplying two power series

  1. #1
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    Calculus: Multiplying two power series

    How do you do this accurately? I can not find the process in my book and I have hw due in less than two hours


    f(x) = 5 + 3 x + 3 x^2 + 5 x^3 + ...
    and
    g(x) = 3 + 2 x + 2 x^2 + 3 x^3 + ...


    By multiplying power series, find the first few terms of the series for the product
    h(x)=f(x) * g(x) = c_0+c_1 x +c_2 x^2 + c_3 x^3 + ....

    I need c1,c2,c3

    c1 is 5*2x+3*3x... trying to figure out the rest
    c2 is 5*2x^2+3*3x^2*(3x*2x)... i think i have this now
    c3 is 5*3x^3+3x^2*2x+3x*2x^2+5*3x^3=42x^3 sorry for asking Q's i end up figuring out
    Last edited by thedoge; April 4th 2007 at 09:24 PM.
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  3. #3
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    thanks. I'll try that approach from now on. My method seemed to be tedious at best for anything larger than the determination of the third or fourth coefficient.
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