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Math Help - In need of verification for Maclaurin Polynomial

  1. #1
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    In need of verification for Maclaurin Polynomial

    Find the MacLaurin polynomial of degree 3 for the function f(x)=e^2x.

    <br />
\displaystyle{e^{2x}+2e^{2x}x+\frac{4e^{2x}}{2!}x^  {2}+\frac{8e^{2x}}{3!}x^{3}}<br />
    Is that not correct?
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  2. #2
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    Quote Originally Posted by Lolcats View Post
    Find the MacLaurin polynomial of degree 3 for the function f(x)=e^2x.

    <br />
\displaystyle{e^{2x}+2e^{2x}x+\frac{4e^{2x}}{2!}x^  {2}+\frac{8e^{2x}}{3!}x^{3}}<br />
    Is that not correct?
    not correct.

    e^u = 1 + u + \frac{u^2}{2!} + \frac{u^3}{3!} + ...

    now sub in 2x for u
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  3. #3
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    Thank you.
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