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September 18, 2014

Homework Help: CALCULUS LIMITS

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!

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