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Math Help - Calculus II Homework Problem

  1. #1
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    Calculus II Homework Problem

    Not sure how to do this one, the way that it is worded confuses me. I'd appreciate any help you may offer.

    Find an approximation for h(x)=e^(-x^2)) by finding a formula f(x) = e^x = p5(x), where p5(x) is a fifth degree polynomial, and by writing h(x) = f(-x^2) = p5(-x^2).

    Thank you
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  2. #2
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    Quote Originally Posted by colonelone View Post
    Not sure how to do this one, the way that it is worded confuses me. I'd appreciate any help you may offer.

    Find an approximation for h(x)=e^(-x^2)) by finding a formula f(x) = e^x = p5(x), where p5(x) is a fifth degree polynomial, and by writing h(x) = f(-x^2) = p5(-x^2).

    Thank you
    you should already know ...

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

    now find the desired polynomial approximation of e^{-x^2}
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  3. #3
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    Quote Originally Posted by skeeter View Post
    you should already know ...

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

    now find the desired polynomial approximation of e^{-x^2}
    Where u = {-x^2}?
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  4. #4
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    Quote Originally Posted by colonelone View Post
    Where u = {-x^2}?
    that's how it works
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