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Problem: Calculating an Infinite Sum

Calculate the infinite sum $\sum_{x=1}^\infty (x(x+1))^{-1}$ applying the fundamental theorem of the difference calculus.

| | | | created: 2020-05-17 10:58:32 | modified: 2020-05-17 11:14:27 | by: bookofproofs | references: [8404]

1.Solution: (related to "Calculating an Infinite Sum")

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Bibliography (further reading)

[8404] Miller, Kenneth S.: “An Introduction to the Calculus of Finite Differences And Difference Equations”, Dover Publications, Inc, 1960