Find the power series centered at 2 for the function:

$\displaystyle F(x)= \frac{3}{5-x}$

so there are a lot of steps that i wrote out because i was trying to solve it using taylor series, so i dont want to write them all out but ill just show what i got at the end. But i get something really weird and i dont even think it makes sense

$\displaystyle \frac{3n!n!}{3^(n+1)}(x-2)^n$

** can you even have n! x n! ?? ... im just really confused