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Math Help - Taylor Series Problems

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    2

    Taylor Series Problems

    Hi,

    I'm having trouble solving these 2 Taylor series problems.

    1. f(x)=sinx, a=pi/2

    2.f(x)=x^-2, a=1

    I'd appreciate any help. Thanks!
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  2. #2
    Senior Member
    Joined
    Dec 2008
    Posts
    319
    Taylor's formula is

    f(x)=f(a)+f'(a)(x-a)+f''(a)\frac{(x-a)^2}{2!}+f'''(a)\frac{(x-a)^3}{3!}+\cdots
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