\frac1{\sqrtn + \sqrtn+1} \cdot \frac{\sqrtn+1 - \sqrtn}{\sqrtn+1 - \sqrtn} = \frac{\sqrtn+1 - \sqrtn}(n+1) - n = \sqrtn+1 - \sqrtn - ToelettAPP
Mar 10, 2026
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