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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?