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)

## Answer This Question

## Related Questions

- calculus/Trig - Suppose you wish to express sin(3t) in terms of sint and cost. ...
- Calculus - Use a Riemann sum with n = 3 terms and the right endpoint rule to ...
- calculus - For large values of n, the Riemann sum 1/n(sin0 + (pi/2n) + sin(2pi/...
- Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...
- TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...
- Calculus - Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I ...
- Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...
- Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...
- Pre-Calculus - I don't understand,please be clear! Prove that each equation is ...
- calculus - Interference Two identical tuning forks are struck, one a fraction of...

More Related Questions