# How do you find the limit of #sqrt(x-2) /sqrt( x^2 - 4x -4)# as x approaches 2?

##### 1 Answer

The limit does not exist.

#### Explanation:

We have two square root functions. The restriction that exists for the typical square root function

So, we know that both

The first can be easily manipulated to show that

To solve the quadratic inequality, first consider *no* real solutions, thus it never crosses the *always* lie under the

Thus, due to the function

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