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Topic: Hi Martin, What Derive 6.10 does on these ?
Replies: 1   Last Post: Jun 26, 2010 7:13 AM

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 apovolot@gmail.com Posts: 104 Registered: 9/4/08
Hi Martin, What Derive 6.10 does on these ?
Posted: Jun 25, 2010 3:23 PM

Hi Martin,

What Derive 6.10 does on these ?

Thanks,
Alex

--------------------
1.
WolframAlpha doesn't give more digits on calculating
sum(1/(exp(1)^(Pi*sqrt(1/2*(1+sqrt(2*n+1))))),n=0...infinity)

It only gives
0.2549971272923126

PARI gives
gp > suminf(n=0,1/(exp(1)^(Pi*sqrt(1/2*(1+sqrt(2*n+1))))))
%1 = 0.2549971273049976427477869494

2.
WolframAlpha doesn't process
4*sum(1/((log(Pi))^n*(exp(1)^(Pi*sqrt(1/2*(1+sqrt(2*n
+1)))))),n=0...infinity)

3.
WolframAlpha hangs on calculating
sum(1/(IntegerPart(exp(Pi*sqrt(19+24*n)))),n=0...infinity)

Date Subject Author
6/25/10 apovolot@gmail.com
6/26/10 clicliclic@freenet.de