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Thread: McLaurin Series Error Approximation

  1. November 9th 2011, 09:55 AM #1
    Mike9182
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    McLaurin Series Error Approximation

    Could someone give a summary of how to complete this problem?

    f(x)=e^{3x}

    Determine the maximum error if M_4(1) is used to approximate e^3
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  2. November 9th 2011, 10:26 AM #2
    FernandoRevilla
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    Re: McLaurin Series Error Approximation

    Quote Originally Posted by Mike9182 View Post
    Could someone give a summary of how to complete this problem? f(x)=e^{3x} Determine the maximum error if M_4(1) is used to approximate e^3
    Hint e^3=f(1)=M_4(1)+\frac{3^5e^{3\xi}}{5!} where 0<\xi<1 .
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