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Math Help - Taylor Expansion....

  1. #1
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    Taylor Expansion....

    Find the Taylor Expansion:

    f(x)=3x^3+2x^2+x+1 as a polynomial in x-1 so a =1


    I'm not exactly sure what the question is asking me to do with the x-1, throwing me for a loop. I know how to find the expansion if we're only looking at a=1. The x-1 is confusing the hell out of me.

    Any help is greatly appreciated!!
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  2. #2
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    Just find the Taylor series for f(x) centered at 1.
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  3. #3
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    Quote Originally Posted by ThePerfectHacker View Post
    Just find the Taylor series for f(x) centered at 1.

    Find the series using x=1?
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  4. #4
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    You need to pay more attention in class, and read the book.

    The Taylor series cented at one would be,
    f(1)+\frac{f'(1)(x-1)}{1!}+\frac{f''(1)(x-1)^2}{2!}+\frac{f'''(1)(x-1)^3}{3!}+....

    You should be able to do that.
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  5. #5
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    Quote Originally Posted by ThePerfectHacker View Post
    You need to pay more attention in class, and read the book.

    The Taylor series cented at one would be,
    f(1)+\frac{f'(1)(x-1)}{1!}+\frac{f''(1)(x-1)^2}{2!}+\frac{f'''(1)(x-1)^3}{3!}+....

    You should be able to do that.

    Well, yeah I know how to do that. I have spent the last hour reading the 2 chapters on Taylor expansions. However, nowhere in the book does it give a question worded the way I originally posted in the topic. This was a problem created by my professor at the end of the last class. The wording (x-1) confused me.
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