## anonymous 4 years ago does anyone know how to sole this limit WITHOUT using L'Hôpital's rule? lim as x --> 1 from the right side, the function is -4/cube root of (1-x^2)

1. anonymous

infinite

2. anonymous

$\lim_{x \rightarrow 1} \frac {-4}{\sqrt[3]{1 - x^2}}$

3. anonymous

Does the limit exist first of all?

4. anonymous

Hey Rogue, it is a right sided limit, but I think Ackhat may have nailed it. It makes sense that it would go to positive infinity. I think.

5. anonymous

Thanks for your time Rogue and Ackhat. I greatly appreciate it.

6. anonymous

Yeah, it is infinity if approached from the right. However, the over limit does not exist since the right & left limits are not equal. There really isn't any other way of doing this algebraically with out L'Hopital's, although you might be able to see it intuitively.