I'm very new to SageMath and did some small experiments yesterday. This is my Code:
x, n, r, i = var('x, n, r, i')
f(x, n, r) = x * sum((1 + r) ^ i, i, 1, n)
f(1, 30, 0.0)
It works well if r != 0
, but will raise a exception of "division by zero" if equal.
My ipynb file: nbviewer.jupyter.org/gist/7sDream/5db3cfd153269fd1a1cacaf0b60f69bb
It seems some optimizations of sum did not consider the range of variable r
.
But there is also no change if I added assume(r >= 0)
before define f
.
So how can I disable this sum optimizations? Or what is wrong with the way I use it?