Re: limit of a sequence
- From: The Ghost In The Machine <ewill@xxxxxxxxxxxxxxxxxxxxxxx>
- Date: Sun, 8 Jul 2007 08:58:27 -0700
In sci.math, The Qurqirish Dragon
<qurqirishd@xxxxxxx>
wrote
on Sun, 08 Jul 2007 07:59:42 -0700
<1183906782.262414.76400@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>:
On Jul 7, 5:05 pm, The Ghost In The Machine
<e...@xxxxxxxxxxxxxxxxxxxxxxx> wrote:
Not quite rigorous enough, as one can have
sum(n=1,+inf) 1/n = +inf
sum(n=1,+inf) 1/(2n-1) = pi/4
Careful with your examples. This second sum is infinite. (it is larger
than sum of 1/(2n), which is half the first sum)
Whoops, right, should have been
sum(n=1,+inf) (-1)^n/(2n-1) = -pi/4
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#191, ewill3@xxxxxxxxxxxxx
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