In mathematics, the antilimit is the equivalent of a limit for a divergent series. The concept is 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.