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Statement-1: For every natural number $$n \ge 2$$, $$\frac{1}{\sqrt{1}} + \frac{1}{\sqrt{2}} + \ldots + \frac{1}{\sqrt{n}} > \sqrt{n}$$. Statement-2: For every natural number $$n \ge 2$$, $$\sqrt{n(n+1)} < n + 1$$.
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