# Math Help - help factoring a limit

1. ## help factoring a limit

I need to find the lim x>a (as "x" approaches "a") of

ax^2 - 2x^2 + a - a^2x + 2a^2 - x
(x - 2)(a - 2)(x - a)

I factored out (x - a) and got

ax - 2x - 2a -1
(x - 2)(a - 2)

I think I am on the right track but don't know where to go from here.
Thanks for any help.

2. just substitute a instead of x

$\frac{ax-2x-2a-1}{(x-2)(a-2)}=\frac{a^2-2a-2a-1}{(a-2)^2}$

that's after substitute

3. OK thanks for the help. I thought it might factor out further.