Problem - 4567
Compute $$\lim_{n\to\infty}\left(\sqrt{n+1}-\sqrt{n}\right)$$
$$\lim_{n\to\infty}\left(\sqrt{n+1}-\sqrt{n}\right)=\lim_{n\to\infty}\frac{1}{\sqrt{n+1}+\sqrt{n}}=\boxed{0}$$
Compute $$\lim_{n\to\infty}\left(\sqrt{n+1}-\sqrt{n}\right)$$
$$\lim_{n\to\infty}\left(\sqrt{n+1}-\sqrt{n}\right)=\lim_{n\to\infty}\frac{1}{\sqrt{n+1}+\sqrt{n}}=\boxed{0}$$