I have the following sums: SUM[from 0 to 0] of 1; SUM[from 0 to 1] of 1; SUM[from 0 to 3] of 1.
What are these sums and why. No elaborate proof is necessary, but I would like to know what's going on here. Thanks
I have the following sums: SUM[from 0 to 0] of 1; SUM[from 0 to 1] of 1; SUM[from 0 to 3] of 1.
What are these sums and why. No elaborate proof is necessary, but I would like to know what's going on here. Thanks
Note that none of those are infinite series.
. An infinite sum of any non-zero constant does not converge.
In particular, (that is for i= 0; one term)
(that is for i= 0 and 1; two terms)
(that is for i= 0, 1, and 3; three terms)
and
(that is for i= 0, 1, 2, and 3; four terms)