Just one more limit problem.

1. Sep 26, 2007

carbz

[SOLVED] Just one more limit problem.

1. The problem statement, all variables and given/known data
Find the limit

2. Relevant equations
$\lim_{x \rightarrow 0} (x^2 - \frac{1}{x})$

3. The attempt at a solution
I got does not exist for this limit. This is since, when you break it down to two parts, the 1/x is undefined at 0.

2. Sep 26, 2007

Avodyne

That's correct.

3. Sep 26, 2007

carbz

allright, thank you

4. Sep 26, 2007

mcampbell

The fact that a function is undefined at a point does not imply the limit does not exist at that point.

5. Sep 26, 2007

carbz

It is infinite on both sides of the point, it doesn't exist.