Thread: Limits to infinite

1. Limits to infinite

Limits to infinite have always confused me. I was going to see if someone could maybe further explain them to me. Here is one of the problems from one of my tests earlier this year.

lim as x-> infinte (sqrt(x-1)-sqrt(x+1)) The answer = 0... but why?

2. Originally Posted by tbenne3
Limits to infinite have always confused me. I was going to see if someone could maybe further explain them to me. Here is one of the problems from one of my tests earlier this year.

lim as x-> infinte (sqrt(x-1)-sqrt(x+1)) The answer = 0... but why?
$\displaystyle \lim_{x \to \infty} (\sqrt{x-1} - \sqrt{x+1}) \cdot \frac{\sqrt{x-1} + \sqrt{x+1}}{\sqrt{x-1} + \sqrt{x+1}}$