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for questions about sequences and series, e.g. convergence, closed form expressions, etc. Note that there is a different tag for spectral sequences, and also note that MathOverflow is not for homework. Please consider consulting the online encyclopedia for integer sequences, if you are trying to identify a given sequence that you have found in your research.

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What is the theoretical interest of finding closed-form solutions of infinite series?

Having the close form for a series of functions is also important: Closed forms can sometimes be used to find exact solutions to differential equations. Closed forms allow for accurate estimates on …
Marc Chamberland's user avatar