On Tue, 29 Nov 2011 at 10:58PM +0000, Ignas Anikevicius wrote: > I like sage a lot and I want to use it a lot as well, but sometimes my > ignorance of the abilities of SAGE does not let me do that. I was > wondering if there is any way of running convergence tests for > infinite series in SAGE?
Well, if you have a formula for the nth coefficient of your series, you
can try using the ratio or root tests:
x, n = var('x n')
a(n) = x^n # formula for the nth term
assume(0<x<1)
limit(a(n+1)/a(n), n=infinity)
(I haven't tested that, but something very close to it would work.)
Dan
--
--- Dan Drake
----- http://mathsci.kaist.ac.kr/~drake
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