Posted by **ANONYMOUS** on Thursday, May 31, 2012 at 7:31pm.

What is the following limit?

lim as n goes to infinity of (pi/n) (sin(pi/n) + sin(2pi/n) + sin(3pi/n) +...+ sin(npi/n)) =

I.) lim as n goes to infinity sigma (n and k=1) of pi/n sin(kpi/n)

II.) Definite integral from 0 to pi of sin(x)dx

III.) 2

A.) I only

B.) II only

C.) III only

D.) II and III only

E.) I, II, and III

Wow, I am really lost on this one, please help!

- details (still need help) -
**ANONYMOUS**, Thursday, May 31, 2012 at 8:03pm
Okay, I still haven't figured it out, but figured that option II is equal to 2. So, if II is true, then III must be true too, so this narrows it down to A, D, and E, if this helps any.

## Answer this Question

## Related Questions

- CALCULUS - What is the following limit? lim as n goes to infinity of (pi/n) (sin...
- Calculus - What is the following limit? lim as n goes to infinity of (pi/n) (sin...
- 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 ...
- Evaluating limits - Evaluate the limit. (If you need to use - or , enter -...
- Calculus - Does the series (1+sin(n))/(10^n) from summation 0 to positive ...
- calculus-limits?? - i keep on doing something wrong on this problem,i guess im ...
- Calc. Limits - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0...
- Pre-cal - Please determine the following limits if they exist. If the limit does...
- Limit Calculas - Evaluate lim->4 sin(2y)/tan(5y) Here is what I have so far. ...

More Related Questions