Student Support Forum: 'Mathematica gives inconsintent answers.' topicStudent Support Forum > General > "Mathematica gives inconsintent answers."

 Next Comment > Help | Reply To Topic
 Author Comment/Response Daniel Krawisz 11/23/08 11:18pm Hi, I'm using Mathematica 6.0.0 for students. When I do Sum[Sin[n Pi /2]^2 / n, {n, Infinity}] I get (EulerGamma + Log[2])/2 and when I apply N to that I get 0.635181 . Meanwhile, if I do Sum[Sin[n Pi /2]^2 / n, {n, Infinity}] I get 3.66547 . However, it is clear that the correct answer ought to be infinity. When n is even, Sin[n Pi /2] is zero. When n is odd, Sin[n Pi / 2] is 1. Hence the sum just amounts to Sum[1/n,{n,1,Infinity,2}] Which does not converge. What's going on here? URL: ,

 Subject (listing for 'Mathematica gives inconsintent answers.') Author Date Posted Mathematica gives inconsintent answers. Daniel Krawisz 11/23/08 11:18pm Re: Mathematica gives inconsintent answers. Kaveh 11/25/08 9:54pm Re: Mathematica gives inconsintent answers. yehuda ben-s... 11/27/08 04:55am
 Next Comment > Help | Reply To Topic