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## Main Question or Discussion Point

I'm doing problem section 15 chapter 1 by Boas. I don't want to ask about a particular problem in there but she often gives this kind of instruction, "By computer or tables, find the exact sum of each of the following series." My question is, what kind of table she is referring to? I take it there must be some kind of equivalent table to integral table. I checked Wiki and there's one but it seems to be too general.

I want to find this for example, question in page 41 there's this series.

##\sum_{n=1}^{\infty} \frac{n}{(4n^2-1)^2}##

Is it possible to find the above series using a combination of elementary functions, or is that series unique? I can't find it in the wiki table.

Secondly, is it legitimate if I just put the type to WolframAlpha directly to answer the question? (Using computer method)

Thank You

I want to find this for example, question in page 41 there's this series.

##\sum_{n=1}^{\infty} \frac{n}{(4n^2-1)^2}##

Is it possible to find the above series using a combination of elementary functions, or is that series unique? I can't find it in the wiki table.

Secondly, is it legitimate if I just put the type to WolframAlpha directly to answer the question? (Using computer method)

Thank You