Infinite sum wrong result. Bug in Giac?
12-29-2014, 01:55 AM
Post: #1
 danielmewes Junior Member Posts: 29 Joined: Dec 2014
Infinite sum wrong result. Bug in Giac?
Hi all,

I was reading this bug report for the 50g http://bugs.hpcalc.org/show_bug.cgi?id=238 and entered the same sum into the Prime for testing:

sum from k=1 to infinity (((1+i)/2)^k)

the Prime gives me 0 as the result.

CAS mode, Settings: Exact on, Complex off (turning it on doesn't change the result), Use sqrt on, Use i on.

I can also reproduce this in Giac/Xcas:
sum(((1+i)/2)^k, k=1...+infinity)
gives me 0 as well.

In contrast, WolframAlpha says the result is i
http://www.wolframalpha.com/input/?i=sum...o+infinity

Trying a few finite upper boundaries on the Prime suggests that Wolfram Alpha is correct, and Giac/Prime are wrong.
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 Messages In This Thread Infinite sum wrong result. Bug in Giac? - danielmewes - 12-29-2014 01:55 AM RE: Infinite sum wrong result. Bug in Giac? - danielmewes - 12-29-2014, 01:58 AM RE: Infinite sum wrong result. Bug in Giac? - Helge Gabert - 12-29-2014, 02:49 AM RE: Infinite sum wrong result. Bug in Giac? - parisse - 12-29-2014, 09:20 AM RE: Infinite sum wrong result. Bug in Giac? - danielmewes - 12-30-2014, 04:07 AM

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