Find the Taylor series for:

$\displaystyle \[f(x) = \tfrac{1}{x^2}, a=1\]$ Center at a = 1.

I've written down up to the 4th derivative and its value at 1, but I always have trouble actually getting the taylor series notation.

$\displaystyle \[\sum \tfrac{(-1)^n(n(n+1))}{n!}(x-1)^n\]$ is what I got but I know it's not right...thanks for any help