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Math Help - taylor series word problem

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    taylor series word problem

    the nth derivative of f at x=1 is given by:

    f^{(n)}(1)= \frac{(n+2)!}{2^n}

    for n≥1 and f(1)=2. write the first 5 terms and the general term of the taylor series for f about x=1
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  2. #2
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    Quote Originally Posted by yoman360 View Post
    the nth derivative of f at x=1 is given by:

    f^{(n)}(1)= \frac{(n+2)!}{2^n}

    for n≥1 and f(1)=2. write the first 5 terms and the general term of the taylor series for f about x=1
    general term for a taylor series centered at x = 1 ...

    \frac{f^{(n)}(1) (x-1)^n}{n!}

    ... so build it.
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