Not a math person, but have to take this class. I just want someone to look this over and tell me if this is right or not because I am not sure and don't have an answer key.

Here is the problem.

Let f(X) = $\displaystyle X-2/X^2-2x$

Find lim x->0

f(x)

Here is what I do,

$\displaystyle X-2/X^2-2x$

$\displaystyle x-2/x(x-2)$

Get rid of X-2

$\displaystyle X = 0$

Is this the right way? If someone has a minute to look this over, it would be really helpful. Once again, I'm not a math major but have to take some basic concepts of calculus...so it's hard...