Answer:
C.
Step-by-step explanation:
So we want to find:

Let's remove the square roots in the numerator by multiplying both layers by the conjugate. So:

In the numerator, we have the difference of two squares pattern. The difference of two squares is:

So, our numerator is now:

Difference of two squares:

Simplify:

In the denominator, keep everything the same for now. So, our limit is now:

Subtract in the numerator:

Both the numerator and denominator have a h. Cancel:

Now, we can use direct substitution. Substitute 0 for h. So:

Simplify:

Combine like terms:

Reduce:

Therefore, our limit is equal to:

So, our answer is C.