Posted by **Shaniquaa** on Monday, December 1, 2008 at 3:24pm.

Is sum of sin(pi/n) DV or CV?

I don't understand why it is DV.

- Calculus -
**Damon**, Monday, December 1, 2008 at 4:43pm
sin pi/1 = 0

sin pi/2 = 1

sin pi/3 = .866

sin pi/4 = .707 and pi/4 = .785

sin pi/5 = .587 and pi/5 = .628

.

.

.

sin pi/100 = .0314107 and pi/100 = .0314159

as we know sin x ---> x as x gets big

so terms get progressively smaller like 1/n (which converges to e) so I think it converges.

- WRONG!!! -
**Damon**, Monday, December 1, 2008 at 4:50pm
1/n! converges to e

1/n does not converge!!!!

every term in our series sin (pi/n) is bigger than 1/n

So it does NOT converge!!

(This is what I get for counting on my aged memory)

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