Re: Does the series 1 - 1/2 - 1/3 + 1/4 + 1/5 - 1/6 - 1/7 + 1/8 + 1/9 + ... converges?
- From: A N Niel <anniel@xxxxxxxxxxxxxxxxxxxxx>
- Date: Sun, 03 Apr 2005 15:12:05 -0400
In article <882ebff2.0504030724.14392f8f@xxxxxxxxxxxxxxxxxx>, dalthman
<dalthman@xxxxxxxxxxx> wrote:
> Does the series 1 - 1/2 - 1/3 + 1/4 + 1/5 - 1/6 - 1/7 + 1/8 + 1/9 + ...
> converges?
>
> And also how can we know whether such kind of series converge or not?
Yes, the absolute values 1, 1/2, 1/3, ... decrease to zero,
and the sign series 1-1-1+1+1... has bounded partial sums.
.
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