• Source: Antilimit

    • In mathematics, the antilimit is the equivalent of a limit for a divergent series. The concept not necessarily unique or well-defined, but the general idea is to find a formula for a series and then evaluate it outside its radius of convergence.


    Common divergent series




    See also


    Abel summation
    Cesàro summation
    Lindelöf summation
    Euler summation
    Borel summation
    Mittag-Leffler summation
    Lambert summation
    Euler–Boole summation and Van Wijngaarden transformation can also be used on divergent series


    References


    Shanks, Daniel (1949). "An Analogy Between Transients and Mathematical Sequences and Some Nonlinear Sequence-to-Sequence Transforms Suggested by It. Part 1" (PDF). Naval Ordnance Lab White Oak Md.
    Sidi, Avram (February 2010). Practical Extrapolation Methods. Cambridge University Press. p. 542. doi:10.1017/CBO9780511546815. ISBN 9780511546815.

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