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Homework Help: Is sin convergent or divergent

  1. Nov 28, 2005 #1
    I just have a quick question, is cos and sin divergent or convergent? I keep getting mixed results from different sources. I know that both functions oscillate so on the interval [0, infinity) they both diverge. But for some of my homework problems relating to improper integrals, the book says that both functions approach some number. I need some guidance as to when both functions approach a number and when they both are divergent. Please help.
    Last edited: Nov 29, 2005
  2. jcsd
  3. Nov 29, 2005 #2


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    The words "convergence" and "divergence" simply do not apply to functions- they apply go sequences or series of numbers or functions.

    I think you are trying to ask if [itex]lim_{x\rightarrow \infty} sin(x)[/itex] and [itex]lim_{x\rightarrow \infty} cos(x)[/itex] exist. You are correct that those limits do not exist.

    Could you please post the exact example your text gives?
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