Re: Unknown Sum of Series
- To: mathgroup at smc.vnet.net
- Subject: [mg63499] Re: [mg63473] Unknown Sum of Series
- From: Pratik Desai <pdesai1 at umbc.edu>
- Date: Tue, 3 Jan 2006 01:25:09 -0500 (EST)
- References: <200601021049.FAA01328@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Klaus G. wrote:
>Mathematica 5.0 is not able to compute the symbolic sum:
>
>Sum[(-1)^(1 + n)*(E - ( 1 + (1/n))^n ), {n, 1, Infinity}]
>
>However, Nsum[...] results in 0.4456224031968407..
>
>I tried http://oldweb.cecm.sfu.ca/projects/ISC/ to find hidden
>constants in that number like Pi or E, but without success.
>
>Any idea?
>
>Klaus G.
>
>
>
I tried Limit on your expression and it gives me zero,
Limit[(-1)^(1 + n)*(E - (1 + (1/n))^n), n -> â??, Direction -> -1]
>>0
Hope this helps
Pratik
- References:
- Unknown Sum of Series
- From: "Klaus G." <Karl_boehme_9@msn.com>
- Unknown Sum of Series