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?

  1. 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?

  2. Paul

    But how can you tell the limit?

  3. bobpursley

    On the graph? YOu look at the graph as x > limits. Look at the same graph for various N.

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