# Math Help - Limit problem - am I correct?

1. ## Limit problem - am I correct?

lim(x-->infinity) (3x + 5) / (x - 4)

I first worked it out by taking the limit of each number, and found the denominator to have a limit of 0. Would that make the limit of the whole equation = infinity?

2. Originally Posted by question111
lim(x-->infinity) (3x + 5) / (x - 4)

I first worked it out by taking the limit of each number, and found the denominator to have a limit of 0. Would that make the limit of the whole equation = infinity?
Try multiplying the numerator and denominator by $\frac{1}{x}$

$\lim_{x \to \infty}\frac{3+\frac{5}{x}}{1-\frac{4}{x}}$

Now the limit is easy to compute becuase the terms $\frac{5}{x},\frac{4}{x}$ both go to zero leaving us with the limit equal to 3.

3. Ah, I did a problem just before the exact same way. I don't know what I was thinking on this one.

Thank you very much.