Use continuity to evaluate the limit.
As x approaches 9, what is the limit of [55+ (squareroot of x)]/ (squareroot of 55 +x)?

Question

Use continuity to evaluate the limit.
As x approaches 9, what is the limit of [55+ (squareroot of x)]/ (squareroot of 55 +x)?

anonymous · Answer

$$55+ \sqrt{x}/ \sqrt{55+x}$$

anonymous · Answer

as x approaches 9, the limit is defined, you can just plug it in from what I see, if I don't misinterpret the equation

anonymous · Answer

I know that first I need to rationalize the denominator, which is what I'm having difficulty with. I end up with $$55+\sqrt{9}*\sqrt{55+9}/64$$

anonymous · Answer

I know that the correct answer is 52/8, but I am having trouble with the intermediate step.

anonymous · Answer

Is the equation

$$ \large  55 + \frac{\sqrt{x}}{\sqrt{55+x}}$$

or 
$$ \frac{55+\sqrt{x}}{\sqrt{55+x}} $$