Converge, absolutely or conditionally?

[rcmango]

Homework Statement

does it converge absolutely, converge conditionally, or diverge?

heres the equation: http://img219.imageshack.us/img219/4645/untitled29fy.jpg

Homework Equations

sin(pi/n)

The Attempt at a Solution

looks like the sin equation converges to zero.

i think this is an alternating series, but I'm not sure if this part converges or diverges?

thanks for any help here.

 

[Gib Z]

Yep, The terms converge to zero, and it converges absolutely, and therefore also with the alternating series.

 

[rcmango]

Great, thanks again.

..also, the alternating series must approach 0, in order to converge right?

..and, in this problem, sin(pi/anything) will always be 0, correct?

 

[Gib Z]

Ahh no, if anything was a constant that it won't be zero.

 

[AlephZero]

..and, in this problem, sin(pi/anything) will always be 0, correct?

No ... but sin(pi*n) is always 0 when n is an integer. Maybe that's what you were thinking of (though it doesn't seem relevant to this question).