http://demonstrations.wolfram.com/SumOfATelescopingSeries/
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For each n = 1, 2, ..., the area of the corresponding colored region is 1/n - 1/n + 1 = 1/n(n + 1), therefore sumn = 1infty1/n(n + 1) = 1.
Contributed by: Soledad M™ Saez Martinez and Felix Martinez de la Rosa
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