- #1
- 5,610
- 1,529
I have a sum
[tex] \sum_{n=-\infty}^{\infty} f(n) [/tex]
which I do not want to consider the convergence of in the normal sense, but I want to talk about the limit
[tex] \lim_{N\to \infty} \sum_{n=-N}^{N} f(n). [/tex]
I know that when this limit exists the sum is _____ convergent, or is a _____ sum, where _____ is something like principal, or first order, or perhaps a name like a Dirichlet sum (I'm making these up of course). Does anybody know what the word I am looking for is?
[tex] \sum_{n=-\infty}^{\infty} f(n) [/tex]
which I do not want to consider the convergence of in the normal sense, but I want to talk about the limit
[tex] \lim_{N\to \infty} \sum_{n=-N}^{N} f(n). [/tex]
I know that when this limit exists the sum is _____ convergent, or is a _____ sum, where _____ is something like principal, or first order, or perhaps a name like a Dirichlet sum (I'm making these up of course). Does anybody know what the word I am looking for is?