Statement-1: For every natural number \[\ge 2,\,\,\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+.....+\frac{1}{\sqrt{n}}>\sqrt{n}\]. |
Statement-2: For every natural number \[n\ge 2,\sqrt{n\left( n+1 \right)}<n+1\]. |
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