Ok, here's the question.

Determine the limit graphically. Confirm algebraically:

lim as x approaches 0 of (5x^3 + 8x^2)/(3x^4 - 16x^2).

Would I just factor out 2 x's on the top and bottom and cancel them? I'm not sure how to do it algebraically or if it can be done. I know it is in it's indeterminate form (0 over 0 by substitution) but although you can't use substitution, how would you get it to not be undefined?

As a warning, hehe, I might have other limit questions. Thanks for the help!

__________________

"And everyone who competes for the prize is temperate in all things. Now they do it to obtain a perishable crown, but we for an imperishable crown." 1 Cor. 9:25

Dance like no one is looking, sing like no one can hear. Love like you've never hurt before, live like there's nothing to fear. -Newsboys