You can check that the limit comes in an undefined form:

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

and

So, we have

Answer:
The distance between two points on a number line can be found by taking the <u>absolute value</u> of the <u>difference</u> of the coordinates.
Step-by-step explanation:
- Every point can be paired with a number on a number line
- The coordinate is the number associated with a point
- To find the distance between point A and B you subtract the coordinates in any order you like and take the absolute value.
Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.