Problem #PRU-5185

Problem

Let $m$ and $n$ be natural numbers such that $m > n$ . Show that: $\frac{1}{n^{2}} + \frac{1}{(n + 1)^{2}} + \frac{1}{(n + 2)^{2}} + \dots + \frac{1}{m^{2}} > \frac{1}{n} - \frac{1}{m} .$

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