Probably for the same reason as maxima, the singularity n=1/2 inside the 
summation domain, if you start at 1 the answer is correct. Now fixed in 
geogebra svn and in xcas offline
http://www-fourier.ujf-grenoble.fr/~parisse/xcasen.html#+normal(sum(1/((n+1)*(2*n-1)),n,0,inf)&
 
<http://www-fourier.ujf-grenoble.fr/%7Eparisse/xcasen.html#+normal%28sum%281/%28%28n+1%29*%282*n-1%29%29,%20n,%200,%20inf%29&;>


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