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Math Help - Find my error

  1. #1
    MHF Contributor Mathstud28's Avatar
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    Find my error

    I am making a stupid error somewhere and its bugging me...help me find it please

    I am doing a limit and I must expand this using power series and then cancel terms for x^2(x-\sin(x))^2

    (x^2-s\sin(x))^2

    So x^4-2x^3\sin(x)+x^2\sin^2(x)

    x^4-2x^3\bigg[x-\frac{x^3}{6}+\frac{x^5}{120}-...\bigg]+\frac{x^2}{2}\bigg[1-\bigg(1-\frac{(2x)^2}{2!}+\frac{(2x)^4}{4!}-...\bigg)\bigg]

    Where am I going wrong?
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  2. #2
    Moo
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    A Cute Angle Moo's Avatar
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    Hello,

    I may be stupid but :

    Quote Originally Posted by Mathstud28 View Post
    I am doing a limit and I must expand this using power series
    Did you decide it ?

    and then cancel terms for x^2(x-\sin(x))^2
    What is the limit of x ?

    x^4-2x^3\bigg[x-\frac{x^3}{6}+\frac{x^5}{120}-...\bigg]+\frac{x^2}{2}\bigg[1-\bigg(1-\frac{(2x)^2}{2!}+\frac{(2x)^4}{4!}-...\bigg)\bigg]

    Where am I going wrong?
    What's going wrong ? Try to develop... And group the terms :/
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