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calculus II

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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?

  • calculus II -

    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?

  • calculus II -

    But how can you tell the limit?

  • calculus II -

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

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