# Thread: Limit of an indeterminant form 0/0

1. ## Limit of an indeterminant form 0/0

Compute lim x->0 (tan(3x^3 + 5x^2 -2x))/(2x^3 - 3x^2 + x)

Thanks!

2. Originally Posted by machack
Compute lim x->0 (tan(3x^3 + 5x^2 -2x))/(2x^3 - 3x^2 + x)

Thanks!
At a brief glance, I see it's a candidate for l'Hopital's Rule. Have you tried that approach?

3. Originally Posted by mr fantastic
At a brief glance, I see it's a candidate for l'Hopital's Rule. Have you tried that approach?
Yes.. it's obvious that l'hopital's rule should be used, but I need help getting the exact answer seeing as how things get more complicated as you continously try to take derivative of the denominator and the numerator.

4. Originally Posted by machack
Yes.. it's obvious that l'hopital's rule should be used, but I need help getting the exact answer seeing as how things get more complicated as you continously try to take derivative of the denominator and the numerator.
I just knew I should have added the following in my reply:

"If so, please show your work and say where you are stuck."

Nevertheless ....

limit of Tan&#x5b;3x&#x5e;3 &#x2b; 5x&#x5e;2 -2x&#x5d;&#x2f;&#x28;2x&#x5e;3 - 3x&#x5e;2 &#x2b; x&#x29; as x aproaches 0 - Wolfram|Alpha

Click on Show steps.

5. Ah I understand now. Thanks for your help and the great website