Find the limit as h approaches 0

C.

Step-by-step explanation:

We want to find the limit:

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

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, we can keep everything the same for now. Thus, our limit is simplified to:

Subtract:

We can cancel the h:

Now we can use direct substitution. So:

Simplify:

Combine like terms:

Reduce:

In conclusion:

Hence, our answer is C.