Question

Find the limit as x approaches negative infinity.
(3x-4)/(sqrt(2x^2 - 5))

Answer 1

Maybe try L'Hopital's Rule: differentiate top and bottom?

Answer 2

Looks like you'll have to do that twice if you're going to try that.

Answer 3

Sorry, my teacher hasn't taught us L'Hopital's Rule so I don't know where to begin.

Answer 4

What other methods have you learned to evaluate limits?
You notice that if you plug in x=∞ you get the indeterminate form ∞/∞?

Answer 5

ohhh i see, i see. So since infinity/infinity = 1, then the answer would be -3/sqrt of 2?

Answer 6

That's usually how I think about it (and it works, that is the correct answer), but stricter mathematicians wouldn't like that.