Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Real Number System
For n ∈ ℕ, which of the following is true?
1
\(\sqrt{n+1}-\sqrt{n}>\frac{1}{\sqrt{n}}\) for all, except possibly finitely many n
2
\(\sqrt{n+1}\) - \(\sqrt{n}<\frac{1}{\sqrt{n}}\) for all, except possibly finitely many n
3
\(\sqrt{n+1}\) - \(\sqrt{n}\) > 1 for all, except possibly finitely many n
4
\(\sqrt{n+1}\) - \(\sqrt{n}\) > 2 for all, except possibly finitely many n