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.

Solutions: 1


Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs


References

Bibliography

  1. Miller, Kenneth S.: "An Introduction to the Calculus of Finite Differences And Difference Equations", Dover Publications, Inc, 1960