What is the limit as x approaches infinity of cos(x)?

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Dec 2, 2015

There isn't any.

Explanation:

The limit does not exist.

Most instructors will accept the acronym DNE. The simple reason is that cosine is an oscillating function so it does not converge to a single value.

A related question that does have a limit is ${\lim}_{x \to \infty} \cos \left(\frac{1}{x}\right) = 1$.

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