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

**Follow-Ups**:**Re: Problem with limiits***From:*Daniel Lichtblau <danl@wolfram.com>

**Re: Problem with limiits***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>