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