limit evaluation



Thank you.  

How would a new user figure that out?  I searched the docs for a lot of phrases and words, but "simpsum" was not something I would pull out of a hat :-)

And, is there a way to ask Maxima to tell me how it arrived at that answer?



--- On Wed, 8/25/10, Johann Weilharter <johann_weilharter at a1.net> wrote:

> From: Johann Weilharter <johann_weilharter at a1.net>
> Subject: AW: [Maxima] limit evaluation
> To: maxima at etherjones.us
> Date: Wednesday, August 25, 2010, 2:49 PM
> Try this:
> (%i5) limit(sum(1/10^k,k,1, n),n,inf,minus),simpsum;
> (%o5) 1/9
> Johnny (Austria)
> 
> -----Urspr?ngliche Nachricht-----
> Von: maxima-bounces at math.utexas.edu
> [mailto:maxima-bounces at math.utexas.edu]
> Im Auftrag von Ether Jones
> Gesendet: Mittwoch, 25. August 2010 20:35
> An: maxima at math.utexas.edu
> Betreff: [Maxima] limit evaluation
> 
> New Maxima user here.? I'm going to swallow my pride
> and ask this. Sorry if this is obvious, but I've spent about
> an hour trying different things and looking at examples and
> reading the docs and I can't figure out how to get Maxima to
> tell me that the answer to the limit is "1" (and hopefully
> to show me how it got that answer):
> 
> (%i3) limit(sum(1/10^k,k,1, n),n,inf,minus);
> ? ? ? ? ? ? ? ?
> ? ? ? ? ? ? ? ?
> ? ? ? ???n
> ? ? ? ? ? ? ? ?
> ? ? ? ? ? ? ? ?
> ? ? ? ? ====
> ? ? ? ? ? ? ? ?
> ? ? ? ? ? ? ? ?
> ? ? ? ? \? ? ? 1
> (%o3)? ? ? ? ? ? ?
> ? ? ? ? ???limit?
> ? ? >? ? ---
> ? ? ? ? ? ? ? ?
> ? ? ? ? ? ? ? n ->
> inf- /? ? ???k
> ? ? ? ? ? ? ? ?
> ? ? ? ? ? ? ? ?
> ? ? ? ? ====? 10
> ? ? ? ? ? ? ? ?
> ? ? ? ? ? ? ? ?
> ? ? ? ? k = 1
> (%i4) 
> 
> 
> Is there a doc somewhere that just contains a gazillion
> working examples of Maxima's various capabilities?? 
> 
> 
> 
> ? ? ? 
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