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Question Number 34687 by math khazana by abdo last updated on 09/May/18
$${calculate}\:\sum_{{n}=\mathrm{2}} ^{\infty} \:\:\left(\frac{\mathrm{1}}{\sqrt{{n}−\mathrm{1}}}\:+\:\frac{\mathrm{1}}{\sqrt{{n}+\mathrm{1}}}\:−\frac{\mathrm{2}}{\sqrt{{n}}}\right) \\ $$