# How do you find #lim (sqrt(x+1)+1)/(sqrt(x+1)-1)# as #x->0^+# using l'Hospital's Rule or otherwise?

##### 2 Answers

This is not an indeterminate form. See below.

#### Explanation:

As

As

To determine which, consider an

Then

We can write the form of the limit as

We write

There is no limit.

#### Explanation:

Generally:

For small positive

So there is no limit :(

We have a 2-sided limit.