Mathematica 9 is now available
Student Support Forum
-----
Student Support Forum: 'Summation Problems' topicStudent Support Forum > General > Archives > "Summation Problems"

Help | Reply To Topic
Author Comment/Response
Cyberholmes
05/27/10 6:45pm

When I give Mathematica the following equation:

Sum[(-1)^(n - 1) Log[n]^(1/2)/n, {n, 1, \[Infinity]}]

it returns the standard form of this equation, telling me that it found no errors, so then I use NSum to find that it's around -0.225719.

If I give it the equation:

Sum[(-1)^(n - 1) Log[n]^(0.5)/n, {n, 1, \[Infinity]}]

(exactly the same with 0.5 exchanged with 1/2) it tells me that the series doesn't converge. It still returns the same answer with NSum, but I wondered why it tells me the series doesn't converge one way but does the other way.

Thanks.

Attachment: Screen shot 2010-05-27 at 6.44.43 PM.png, URL: ,
Help | Reply To Topic