Use the binomial series to expand the function as a power series:

$\displaystyle f(x) = 7 \sqrt{1+x}$

My answer:

$\displaystyle 7 + \frac{7}{2}x + \sum^{\infty}_{n=2} \frac{7 (-1)^{n-1}}{2^nn!}x^n$

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- Apr 16th 2009, 07:16 PMmollymcf2009Binomial series - check my work?
Use the binomial series to expand the function as a power series:

$\displaystyle f(x) = 7 \sqrt{1+x}$

My answer:

$\displaystyle 7 + \frac{7}{2}x + \sum^{\infty}_{n=2} \frac{7 (-1)^{n-1}}{2^nn!}x^n$ - Apr 16th 2009, 08:23 PMCalculus26
Mollymcf

Not quite

Its kind of complicated --even if i knew Latex it would take forever

so please see the following attachment - Apr 16th 2009, 08:36 PMmollymcf2009