CALCULUS LIMITS
posted by ANONYMOUS .
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!
Respond to this Question
Similar Questions

calculus
1. integral oo, oo [(2x)/(x^2+1)^2] dx 2. integral 0, pi/2 cot(theta) d(theta) (a) state why the integral is improper or involves improper integral (b) determine whether the integral converges or diverges converges? 
Calculus
Consider the function f(x)=sin(1/x) Find a sequence of xvalues that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if … 
Calculus
Consider the function f(x)=sin(1/x) Find a sequence of xvalues that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if … 
Calculus
Does the series (1+sin(n))/(10^n) from summation 0 to positive infinity converge or diverge? 
calculuslimits??
i keep on doing something wrong on this problem,i guess im forgetting to add or subtract some number. use f'(x)=lim h>0 f(x+h)f(x)/h to find the limit: lim h>0 sin^(3)4(x+h)sin^(3)4x/h 
Evaluating limits
Evaluate the limit. (If you need to use  or , enter INFINITY or INFINITY.) lim x +sin(x)/(2x+cos(x)) as x goes to 0. 
Calculus
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 
CALCULUS
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 
Limit Calculas
Evaluate lim>4 sin(2y)/tan(5y) Here is what I have so far. I am not sure the next steps. Can someone help me? 
calculus
using the squeeze theorem, find the limit as x>0 of x*e^[8sin(1/x)] what i did was: 1<=sin(1/x)<=1 8<=8*sin(1/x)<=8 e^(8)<=e^[8*sin(1/x)]<=e^(8) x*e^(8)<=x*e^[8*sin(1/x)]<=x*e^(8) lim x>0 [x*e^(8)] …