Hello I am writing a program that determines if a series is convergent or not, and discovered sympy. I have written almost all of the tests, just have a few hard ones to write, but I now wonder if their is a built in sympy method to solve it. I have done alot of research and only seem to find that it can only expand a series.
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Yes, sympy does have a this functionality: sympy-documentation Note that you will need a sufficiently recent version of sympy. Version 1.0 works, whereas 0.7.6 does not have this functionality yet.
Small example on how to use (copied from the sympy documentation):
from sympy import Sum, Symbol, sin, oo
n = Symbol('n', integer=True)
Sum((-1)**n, (n, 1, oo)).is_absolutely_convergent()

laolux
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to get the radius of convergence use `.doit()` – Jaden Lorenc Jun 03 '22 at 04:39