HI could anyone help me with this power series question............dont know where to start!!!
Thanks
$\displaystyle f(x) = f(0) + f'(0)x + f''(0)\frac{x^2}{2!}+\dots$
You have to find the relevant derivatives of f(x) for this.
For the power series question use
$\displaystyle (1-x)^{-n} = 1- \frac{nx}{1!}+\frac{n(n+1)x^2}{2!}-\frac{n(n+1)(n+2)x^3}{3!}+\dots$