Re: Limit a^n / n!
- To: mathgroup at smc.vnet.net
- Subject: [mg8291] Re: [mg8130] Limit a^n / n!
- From: weber at math.uni-bonn.de (Matthias Weber)
- Date: Sun, 24 Aug 1997 04:46:32 -0400
- Organization: RHRZ - University of Bonn (Germany)
- Sender: owner-wri-mathgroup at wolfram.com
In article <5tbh7i$jeo at smc.vnet.net>, seanross at worldnet.att.net wrote: > agt801 wrote: > > > > Hi, > > > > Would anyone tell me how to teach mathematica to evaluate the limit : > > > > Limit[a ^ n / n!, n -> Infinity] where a is a real constant. > > > > Leung > > Why not graph it as a function of n? If there is a limit, you will see > it soon enough. Don't get hung up on the abstract concept of infinity. > There are no infinities in nature, only in the human mind when used as a > useful mathematical abstraction. In the real world, Infinity just means > larger than you can measure or so large that it becomes the dominant > signal in your measurement. I just did this for a few values of a and > it sure looks like the limit is zero. At least, 10^100/100! is around > 10^-175, which is closed enough to zero for me when compared to the > value of a or n. Oh boy. Would you also graph 1.000001 ^ n / n^3 ? Good luck! Matthias