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Question Number 59280 by Mr X pcx last updated on 07/May/19
![find Σ_(n=1) ^∞ (([(√(n+1))]−[(√n)])/n^2 )](Q59280.png)
$${find}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\left[\sqrt{{n}+\mathrm{1}}\right]−\left[\sqrt{{n}}\right]}{{n}^{\mathrm{2}} } \\ $$