1003047606

convergent and $\underset{n\to \mathrm{\infty }}{lim}\sqrt{n}(\sqrt{n}-\sqrt{n-1})=\frac{1}{2}$

convergent and $\underset{n\to \mathrm{\infty }}{lim}\sqrt{n}(\sqrt{n}-\sqrt{n-1})=0$

convergent and $\underset{n\to \mathrm{\infty }}{lim}\sqrt{n}(\sqrt{n}-\sqrt{n-1})=2$

divergent and $\underset{n\to \mathrm{\infty }}{lim}\sqrt{n}(\sqrt{n}-\sqrt{n-1})=\mathrm{\infty }$

divergent and it does not have an infinite limit