Re: Limits

*To*: mathgroup at smc.vnet.net*Subject*: [mg46500] Re: Limits*From*: "David W. Cantrell" <DWCantrell at sigmaxi.org>*Date*: Fri, 20 Feb 2004 22:58:33 -0500 (EST)*Organization*: NewsReader.Com Subscriber*References*: <c146i0$490$1@smc.vnet.net> <c14srk$rnj$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Jens-Peer Kuska <kuska at informatik.uni-leipzig.de> wrote: > and your teachers have not told you that Exp[x] > grow stronger than any negative power can decay ? Perhaps they have told him that. (I certainly hope so!) And so perhaps Ronny already knew that the limit is Infinity, and just wondered why Mathematica couldn't evaluate such a simple limit. First, let me note that version 5 has no problem evaluating that limit. But for version 4.2, Ronny, look at this: In[1]:= Limit[E^n/n^3, n -> Infinity] Out[1]= Limit[E^n/n^3, n -> Infinity] (* That's what you were complaining about. *) (* The line below loads an add-on package. *) In[2]:= << "Calculus`Limit`" In[3]:= Limit[E^n/n^3, n -> Infinity] Out[3]= Infinity But one reason I don't like the above method is that that add-on package has quite a few quirks itself. In this particular case though, it helped. David Cantrell > Ronny Mandal wrote: > > I am trying to find the limit of the following expression : > > > > (E^n / n^3), n is growing to pos. infinity. But Mathematica 4.2 only > > yield the expression in return! And it shipped with no comprehensive > > doc, since it is a student version. > > > > Any suggestions?