calculus II
posted by Paul
I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}? And what happens to the graph and to the value of the integral as N approaches infinity? Does the graph confirm the limiting behavior of the integral's value?
Now how would you describe the graph of this function when say N=5, N=10, and N=100?
And what does it mean does the graph confirm the limiting behavior of the integral's value?

bobpursley
If you graph the function for those N, you will be able to see what the graph does.
Does changing N change the limit?
I am wondering why you are asking others this question: Did you graph it? 
Paul
But how can you tell the limit?

bobpursley
On the graph? YOu look at the graph as x > limits. Look at the same graph for various N.
Respond to this Question
Similar Questions

Calculus
I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}? 
calculus
consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer. a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100. B) What happens to the graph and to the value … 
calculus
consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer. a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100. B) What happens to the graph and to the value … 
calculus
Posted by Paul on Friday, February 19, 2010 at 3:57am. I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}? 
Calculus
I'm supposed to find the average value of the function over the given interval. f(x) = sin(nx), interval from 0 to pi/n, where n is a positive integer. I know the average value formula, and I know that the integral of that function … 
College Algebra
1.Answer the following for the given quadratic function. f(x) = 2x^2  8x  13 (a) does the graph of f open up or down? 
Math Graph
In polar coordinates, the graph r=sin(θ)/cos^2(θ) represents the function y=(a_n)*x^n+(a_(n−1))*x^(n−1)+…+a_0 in Cartesian coordinates, where n is a positive integer and (a_i) are real numbers. What is the value … 
math
When p is an odd positive integer, then the graph of the power function f(x)=x^p is similar to the graph of y=? 
pre  CALCULUS
Begin by graphing the standard absolute value function f(x) =  x . Then use transformations of this graph to describe the graph the given function. h(x) = 2  x  + 2 
pre  CALCULUS
Begin by graphing the standard absolute value function f(x) =  x . Then use transformations of this graph to describe the graph the given function. h(x) = 2  x  + 2