# What is the limit of #cosx# as x goes to infinity?

##### 2 Answers

There is no limit.

#### Explanation:

Recall or Note:

for every positived

for all

As

Refer to explanation

#### Explanation:

Choose two sequences such as

But

Hence there is no limit for

The theorem that was used for the proof is

**(Divergence Criterion for Functional Limits):

Let

then we can conclude that the functional