Question

What Is the limit As $x$ approaches infinity of $\cos \left(x\right)$ $?$

Answer 1

Find the limit as $x$ approaches infinity of $\cos \left(x\right)$.

The limit does not exist.

Most instruction will accept the acronym DNE. The simple reason is that cosine is an oscillating function so it does not coverage to a single value.
$\underset{x\to \infty }{\lim }$$\cos \left(\frac{1}{x}\right)$ = 1