Problem with limiits
- To: mathgroup at smc.vnet.net
- Subject: [mg65695] Problem with limiits
- From: Roger Bagula <rlbagulatftn at yahoo.com>
- Date: Sun, 16 Apr 2006 01:44:51 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
A well known limit is: Limit[(1 + 1/n)^n, n -> Infinity]=E I tried it and it works... solution seems built in. I tried: Limit[(1 + 1/Prime[n])^Prime[n], n -> Infinity] Again I tried: Limit[(1 + 1/Prime[n])^Prime[n], n -> 2000] Here's how I got an estimate: Table[(1 + 1/Prime[n])^Prime[n], {n, 1, 400}]; ListPlot[%] It appears to be approaching E as well. N[(1 + 1/Prime[2000])^Prime[2000], 100] - E -0.000078156838841603507435562510935842641134579112458192281970712293762387821356624136556497567576200
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