Which programming language or a library can process Infinite Series?

Question

Which programming language or a library is able to process infinite series (like geometric or harmonic)? It perhaps must have a database of some well-known series and automatica

Answer 1

You can solve the series problem in Sage (a free Python-based math software system) exactly as follows:

sage: k = var('k'); sum((-1)^k/(2*k+1), k, 1, infinity)
1/4*pi - 1

Behind the scenes, this is really using Maxima (a component of Sage).