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Math Help - Find the Taylor polynomial

  1. #1
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    Find the Taylor polynomial

    Find the Taylor polynomial of degree 4 (i.e. the first five terms) for the function f(x) = x^(3/2) , about the centre c = 1.
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  2. #2
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    Quote Originally Posted by al1850 View Post
    Find the Taylor polynomial of degree 4 (i.e. the first five terms) for the function f(x) = x^(3/2) , about the centre c = 1.
    Well by definition this polynomial is:

    p(x)=f(1)+f'(1)(x-1)+\frac{f''(1)(x-1)^2}{2} + \frac{f'''(1)(x-1)^3}{6}+\frac{f''''(1)(x-1)^4}{24}

    Now what is the real problem?

    RonL
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  3. #3
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    <br />
p(x)=1+\frac{3}{2}(x-1)+\frac{3}{4}\frac{(x-1)^2}{2!} + \frac{-3}{8}\frac{(x-1)^3}{3!}+\frac{9}{16}\frac{(x-1)^4}{4!}<br />
    Don't know how to do next.
    Please help, thanks
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  4. #4
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    Quote Originally Posted by al1850 View Post
    <br />
p(x)=1+\frac{3}{2}(x-1)+\frac{3}{4}\frac{(x-1)^2}{2!} + \frac{-3}{8}\frac{(x-1)^3}{3!}+\frac{9}{16}\frac{(x-1)^4}{4!}<br />
    Don't know how to do next.
    Please help, thanks
    But thats all there is to it... Do you want to expand
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  5. #5
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    maybe i'm thinking too much....
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