The Products of Hyperreal Series and the Limitations of Cauchy Products

  • Jonathan Bartlett

Abstract

Divergent series can, using hyperreals, be evaluated in the same way as if they were finite series. However, even though they can be treated similar to finite series, that is not the same as saying that they can be treated as convergent series.  Cauchy Products will only arrive at correct values when a series is convergent.  Alternatives to the Cauchy Product are given.

Published
2021-01-09
Section
Articles