💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

# Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If l'Hospital's Rule doesn't apply, explain why.$\displaystyle \lim_{x\to 1/2} \frac{6x^2 + 5x - 4}{4x^2 + 16x - 9}$

## 11/ 20

Derivatives

Differentiation

Volume

### Discussion

You must be signed in to discuss.

Lectures

Join Bootcamp

### Video Transcript

So for this probably want to factor the numerator first and then simplify. So when we factor the numerator It will be three x plots four Times two X -1. Yeah. Provided by two X plus nine Times to Act -1. Yes. Based on this it's clear that the two x minus ones can cancel leaving us with just three X plus 4/2 X plus nine. Then when you plug in the one half that would end up giving us 11 which would be our final answer, another option would need to use low petals role to take the derivative of the top and bottom. Doing that would also give us 11/20. And that's because we would get 12 x plus five divided by eight X. Class 16. And we see here that if we plugged in in this case we plugged in X equals um one half. We would end up getting right here .55 as well.

California Baptist University

Derivatives

Differentiation

Volume

Lectures

Join Bootcamp