Prove that the following sum converges and has the given value.

Again, we simplify and use the theorem on the sum of a telescoping series (Theorem 10.7 on page 386 of Apostol),

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Stumbling Robot

A Fraction of a Dot
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Prove that the sum from 1 to ∞ of *(2n + 1) / (n*^{2}(n+1)^{2}) = 1

Prove that the following sum converges and has the given value.

Again, we simplify and use the theorem on the sum of a telescoping series (Theorem 10.7 on page 386 of Apostol),