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Math Help - Taylor expansion

  1. #1
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    Taylor expansion

    Find the first three nonzero terms of the Taylor Expansion for the given function and given value of a.

    tan\;x\;\;\;\;\; \left(a = \frac{\pi}{4}\right)
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Socrates View Post
    Find the first three nonzero terms of the Taylor Expansion for the given function and given value of a.

    tan\;x\;\;\;\;\; \left(a = \frac{\pi}{4}\right)
    if you mean what is the taylor expansion for tan(x) then evaluate it at a...well the one maclaurin expansion for three is x+\frac{x^3}{3}+\frac{2x^5}{15}
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  3. #3
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    Well for example: 1 + 2(x - \frac{1}{4}\;\pi) + 2(x - \frac{1}{4}\;\pi)^2 + ... is the answer in the book.
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    O....

    Quote Originally Posted by Socrates View Post
    Well for example: 1 + 2(x - \frac{1}{4}\;\pi) + 2(x - \frac{1}{4}\;\pi)^2 + ... is the answer in the book.
    You wanted a taylor expansion CENTERED around \frac{\pi}{4}...haha ok thats different...here is what you do..use this f(c)+f'(c)(x-c)+\frac{f''(c)(x-c)^2}{2!}
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  5. #5
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    Yea that makes sense now. Thanks.
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  6. #6
    MHF Contributor Mathstud28's Avatar
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    Yeah

    Quote Originally Posted by Socrates View Post
    Yea that makes sense now. Thanks.
    sure anytime...
    Mathstud
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