**Spam answers will not be tolerated** Please evaluate the Derivative using the Limit Process. Show all workings.

Step-by-step explanation:

We have the function:

And we want to find the derivative using the limit process.

Recall that the definition of a derivative is:

Therefore, by substitution:

First and foremost, we can move the constant factor outside of the limit:

Next, we can multiply everything by (√(x + h)(√x) to eliminate the fractions in the denominator. Therefore:

Distribute:

Distribute and simplify:

Next, we can multiply both sides by the conjugate of the numerator. In other words, multiply by (√x + √(x + h)). Thus:

Simplify:

Cancel like terms:

Now, we can use direct substitution. Hence:

Simplify:

Multiply:

Reduce and rewrite:

Simplify:

Therefore:

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.