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Nested Sigma Noation - Noah - 2011-05-10
2147483647 Wrote:I did exactly what you did in the first post, except in a less formal way.
Ah, I must be blind! Sorry!
Just coming in with some input here:
The summation-operator is a discrete operator, so if you want to be really precise, you can't use the geometric formula. However, as long you show that the harmonic series or the series of ones goes to infinity, you've showed what you needed. So what you really could do, is just to show them the series of ones.
Noah
Nested Sigma Noation - hadriel - 2011-05-11
Noah Wrote:Ah, I must be blind! Sorry!
Just coming in with some input here:
The summation-operator is a discrete operator, so if you want to be really precise, you can't use the geometric formula. However, as long you show that the harmonic series or the series of ones goes to infinity, you've showed what you needed. So what you really could do, is just to show them the series of ones.
Noah
That's why I hate analysis... thankfully I'm not taking Math next year, nor am I taking Math tripos here! Have to give my Mathmo friends some respect too.
Hadriel