Talk:List of sums of reciprocals

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writing out the formula ?

Wouldn't it be nice and helpful to add mathematical expressions to the text-only description of what is summed up ? e.g., instead of "The reciprocals of the factorials sum to 2", write

"The reciprocals of the factorials sum to

\sum _{k\geq 0}{\tfrac {1}{k!}}={\tfrac {1}{0!}}+{\tfrac {1}{1!}}+{\tfrac {1}{2!}}+...=2

" ?

and instead of "The and instead of "The reciprocals of the non-negative integer powers of 2 sum to 2", write

"The reciprocals of the non-negative integer powers of 2 sum to

\sum _{k\geq 0}{\tfrac {1}{2^{k}}}={\tfrac {1}{2^{0}}}+{\tfrac {1}{2^{1}}}+{\tfrac {1}{2^{2}}}+...=2

" ?

At least for mathematicians, this is much easier to grasp visually. — MFH:Talk 02:49, 16 May 2015 (UTC)[reply]

Nilakantha Somayaji Series

Looks like this series is not listed? Jan Burse (talk) 12:39, 12 August 2023 (UTC)[reply]

The page has no references to any of the asserted results about values of specific sums. VictorSMiller (talk) 20:46, 16 November 2024 (UTC)[reply]