Definition:Convergent Product/Informal Definition

From ProofWiki
Jump to navigation Jump to search


A convergent product is an infinite (continued) product whose sequence of partial products converges.

Hence the phrase:

$\ds \prod_{n \mathop = 1}^\infty a_n$ diverges to $0$

then becomes:

$\ds \prod_{n \mathop = 1}^\infty a_n$ converges to $0$.

Also see

which creates an analogy with series.

  • Results about convergent products can be found here.