Help on a Power Series Question!

• Nov 8th 2009, 04:25 PM
simpleas123
Help 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, 04:39 PM
pickslides
$f(x) = f(0) + f'(0)x + f''(0)\frac{x^2}{2!}+\dots$

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

For the power series question use

$(1-x)^{-n} = 1- \frac{nx}{1!}+\frac{n(n+1)x^2}{2!}-\frac{n(n+1)(n+2)x^3}{3!}+\dots$
• Nov 8th 2009, 04:48 PM
simpleas123
Im still confused i understand power series very little.
Could you show me how to answer the first part?