HI :) could anyone help me with this power series question............dont know where to start!!!

http://img199.imageshack.us/img199/9572/80613605.jpg

Thanks

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- Nov 8th 2009, 03:25 PMsimpleas123Help on a Power Series Question!
HI :) could anyone help me with this power series question............dont know where to start!!!

http://img199.imageshack.us/img199/9572/80613605.jpg

Thanks - Nov 8th 2009, 03:39 PMpickslides
$\displaystyle f(x) = f(0) + f'(0)x + f''(0)\frac{x^2}{2!}+\dots$

You have to find the relevant derivatives of f(x) for this.

For the power series question use

$\displaystyle (1-x)^{-n} = 1- \frac{nx}{1!}+\frac{n(n+1)x^2}{2!}-\frac{n(n+1)(n+2)x^3}{3!}+\dots$ - Nov 8th 2009, 03:48 PMsimpleas123
Im still confused i understand power series very little.

Could you show me how to answer the first part?