Can someone check this simple limit problem for me please?

• April 13th 2009, 10:00 AM
Torlot
Can someone check this simple limit problem for me please?
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) = $X-2/X^2-2x$

Find lim x->0
f(x)

Here is what I do,

$X-2/X^2-2x$

$x-2/x(x-2)$

Get rid of X-2

$X = 0$

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...
• April 13th 2009, 10:08 AM
dimeola
Yes,

when lim x->0 f(x) = 1/x , then f(x) = infinity
• April 13th 2009, 10:14 AM
Torlot
Thanks for looking it over.
• April 13th 2009, 06:51 PM
mr fantastic
Quote:

Originally Posted by dimeola
Yes,

when lim x->0 f(x) = 1/x , then f(x) = infinity

Not quite right.

If x --> 0 from the left then f(x) --> - oo.

If x --> 0 from the right, then f(x) --> +oo.