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

We simplify and apply the theorem on the sums of 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 given infinite sum has the stated value

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

We simplify and apply the theorem on the sums of telescoping series (Theorem 10.7 on page 386 of Apostol),