Posted by ANONYMOUS on .
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
A.) I only
B.) II only
C.) III only
D.) II and III only
E.) I, II, and III
I am really not getting much of this at all, I think I have it narrowed down to A, D, or E.