# Yay, more limits!

1. Oct 6, 2004

### check

I've can't seem to get this:

$$\lim_{\substack{x\rightarrow 1}} \frac {\sqrt{x} - x^2} {1 - \sqrt{x}}$$

I know it equals 3... I got that from the using numbers close to 1 method and from the dervative of the top over the derivative of the bottom method... trouble is, I don't think that's how he wants us to find the answer because we haven't learned the derivative method yet. :yuck: any help would be awesome.

2. Oct 6, 2004

### arildno

Set:
$$a=\sqrt{x}$$
Then:
$$\frac{\sqrt{x}-x^{2}}{1-\sqrt{x}}=a\frac{1-a^{3}}{1-a}$$
Does that help?

3. Oct 6, 2004

### check

YES! Oh sweet, thanks a lot!