# How do you use the Squeeze Theorem to find #lim Tan(4x)/x# as x approaches infinity?

##### 1 Answer

There is no limit of that function as

#### Explanation:

I know of no version of the squeeze theorem that can be use to show that this limit does not exist.

Observe that as

So every time

Although the Squeeze theorem is not helpful, it may be possible to use a boundedness theorem to prove this result.

That is, it may be possible to show that for large

For reference, here is the graph of

graph{tan(4x)/x [-3.91, 18.59, -4.87, 6.37]}