Re: Limit a^n / n!
- To: mathgroup at smc.vnet.net
- Subject: [mg8245] Re: [mg8130] Limit a^n / n!
- From: seanross at worldnet.att.net
- Date: Thu, 21 Aug 1997 21:17:02 -0400
- Sender: owner-wri-mathgroup at wolfram.com
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.