I am trying to find a Taylor series for the following function:
${1\over 1-9x}$ centered at c = 7

I browsed through my Calc II book and found that I can use the general formula for a Taylor series expansion.

$$T(x) = \sum\_{n=0}^\infty {f^n (c)\over n!} (x-c)^n$$

The book said that $f^n$ is a representation of the various derivatives of the given function. Do I try to compute a few derivatives and than represent them in a $f^n$ format?

Can someone help explain the initial steps to solving this problem, and just nudge me in the right direction please? Thank You