appleduardo 3 years ago whats the limit of the following function?

1. appleduardo

$\frac{ x ^{3} -1 }{ \sqrt{x}-3 }$

2. appleduardo

x-->1

3. anonymous

Is x-3 under the square root or just x?

4. appleduardo

nope, is (√x) - 3

5. anonymous

Then simply plug 1 in for x.

6. appleduardo

m but ill get 0 in the numerator, and -2 in the denominator, so how can i find the limit?

7. anonymous

That is the limit. What is 0 divided by anything?

8. anonymous

0 divided by anything is 0. The limit is 0.

9. appleduardo

thank you so much!! :P very helpful