# Is sin convergent or divergent

1. Nov 28, 2005

### trumpetplaya1687

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. Nov 29, 2005

### HallsofIvy

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 $lim_{x\rightarrow \infty} sin(x)$ and $lim_{x\rightarrow \infty} cos(x)$ exist. You are correct that those limits do not exist.