Find the limit as x approaches 1.

Step 1)

Plug in 1 into x.

This come out to being indeterminate or 0/0.

So taking the rule:

Step 2).

Step 3) Final Answer is 2.

Anyhow, I see the pattern of how the answer came about, but I don't understand the reasoning behind it. Well, I understand differintiation part. However. where did the fraction inside of the fraction come from in Step 2? Why did the square root in Step 2 get moved to the numerator in the final answer?