# Math Help - Limit Problemm

1. ## Limit Problemm

Hey, I have a problem that is sort of getting me. Any help would be appreciated

As x approaches infinity, find the limit of sqrt((x^2)+4)/x

Thanks!

2. Originally Posted by AC221
Hey, I have a problem that is sort of getting me. Any help would be appreciated

As x approaches infinity, find the limit of sqrt((x^2)+4)/x

Thanks!
Noting that $\sqrt{x^2}=x$, note that $\lim_{x\to\infty}\frac{\sqrt{x^2+4}}{x}=\lim_{x\to \infty}\sqrt{\frac{x^2+4}{x^2}}=\lim_{x\to\infty}\ sqrt{1+\frac{4}{x^2}}$.

Can you take it from here?