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I think it'd be cool to see a list of neat approximations of mathematical constants, interesting convergent sequences of functions, links to Ramanujan's notebooks...! Post your favorites!

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closed as too broad by Michael Albanese, Hakim, Brian Fitzpatrick, user91500, Macavity Jun 11 at 9:44

There are either too many possible answers, or good answers would be too long for this format. Please add details to narrow the answer set or to isolate an issue that can be answered in a few paragraphs.If this question can be reworded to fit the rules in the help center, please edit the question.

Apart from this and this? –  J. M. Apr 30 '11 at 0:26
See also the book Mathematical Constants by Steven R. Finch. Also here. –  lhf Apr 30 '11 at 0:39
Is there a question here? –  Fixee Apr 30 '11 at 1:14
The first approximation to e given in JM's link is indeed absolutely amazing! –  Fernando Martin Apr 30 '11 at 4:25