edgar

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15 years, 172 days

MaplePrimes Activity


These are questions asked by edgar

Here is a strange one...


1> /Library/Frameworks/Maple.framework/Versions/2019/bin/maple ; exit;
    |\^/|     Maple 2019 (APPLE UNIVERSAL OSX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2019
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> version():                                                                   
 User Interface: 1435526
         Kernel: 1435526
        Library: 1435526
> I0:=(x - 11)^(n)*x/(x^(n + 1));                                              
                                             n
                                     (x - 11)  x
                               I0 := -----------
                                       (n + 1)
                                      x

> I1:=(x - 11)^(n)/(x^(n));                                                    
                                              n
                                      (x - 11)
                                I1 := ---------
                                          n
                                         x

> is(I1=I0);                                                                   
memory used=2.5MB, alloc=40.3MB, time=0.14
                                     true

> Limit(I0,x=infinity)=limit(I0,x=infinity) assuming n::posint;                
                                            n
                                    (x - 11)  x
                          lim       ----------- = infinity
                     x -> infinity    (n + 1)
                                     x

> Limit(I1,x=infinity)=limit(I1,x=infinity) assuming n::posint;                
                                                n
                                        (x - 11)
                              lim       --------- = 1
                         x -> infinity      n
                                           x

This was in Maple 2019.2 ... but I had Maple 18 (from 2014) running here, and it does the same thing.

 

How strange is this: replace 11 by 10 (or less) and the error goes away.

 

The function hypergeom([2/3,2/3,2/3],[-1/3,4/3],z) has radius of convergence 1 and real coefficients.

But Maple tells me evalf(hypergeom([2/3, 2/3, 2/3], [-1/3, 4/3], 99/100),50);

is -138.999 + 0.0012 I
 


It should be more like −138.9962313171333091754979138344422738025

(Maple 18, version 991181)

---

G A Edgar

Who knows what Maple does wrong on this one?



T:=Sum(1/(6*k+1)!, k=0..infinity); evalf(T); value(T); evalf(%);

Sum(1/factorial(6*k+1), k = 0 .. infinity)

 

1.000198413

 

(1/6)*3^(1/2)*exp(-1/2)*sin((1/2)*3^(1/2))+(1/6)*3^(1/2)*exp(1/2)*sin((1/2)*3^(1/2))+(1/6)*exp(1/2)*cos((1/2)*3^(1/2))

 

.6739557747

(1)

 



Download sum.mw

Is this really the answer we want?  

> sum(log(n)/n,n=1..infinity);  

Error, (in Zeta) numeric exception: division by zero  

Today I found that login does not work on MaplePrimes.  I changed my password, but still not.

There is no error, I am just returned to the provious page, still not logged in.

Safari 5.1.2, Mac OS 10.6.8

I had to log in using Firefox to post this!

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