7.150 bugs in sum and int in Maple V.3 and Maple V.4 (10.10.97)

7.150.1 Wolfgang Ziller

Here are some amusing errors in Maple:

>sum((-1)^n,n=1..infinity); 
                                 -1/2 
 
> sum((-2)^n,n=1..infinity); 
 
                                 -2/3 
 
> sum((-1)^n*n,n=1..infinity); 
 
                                 -1/4
 

Apparently Maple plugs into a power series (e.g. the geometric series in the first two examples) no matter if the points lie in the radius of convergence or not. This is the output in V4 . V3 did not do this (unless you asked to evalf it).

The following integral seems to produce what looks like a syntax error:

>int(x*sqrt(1 + 1/x^(4/3) ), x); 
 
Error, (in int) wrong number (or type) of 
parameters in function iquo
 

At least V3 gave up on this integral.

This bug is removed with Maple V Release 5. (U. Klein)