## anonymous 5 years ago lim_{x rightarrow -infty} {{4 - 7x} over {2 + 3x}}

1. anonymous

$\lim_{x \rightarrow -\infty} {{4 - 7x} \over {2 + 3x}}$

2. anonymous

im gonna say lopital's rule.. so -7/3. im sure its wrong though, i cant find anything to factor out.

3. anonymous

factor an x from the top and bottom.

4. anonymous

$\frac{x(-7+\frac{4}{x})}{x(3+\frac{2}{x})}$

5. anonymous

Thanks!

6. anonymous

So you should get $$\frac{-7}{3}$$ when you cancel the x and take the limit because the two fractions on top and bottom will go to 0.

7. anonymous

Right. Now i can go on. thks