- #1

#### nycmathguy

- Homework Statement
- Graphs and Limits

- Relevant Equations
- Quadratic and Piecewise Function

Use the graph to investigate

(a) lim of f(x) as x→2 from the left side.

(b) lim of f(x) as x→2 from the right side.

(c) lim of f(x) as x→2.

Question 18

For part (a), as I travel along on the x-axis coming from the left, the graph reaches a height of 4. The limit is 4. It does not matter if there is a hole at (2, 4), right?

For part (b), as I travel along on the x-axis coming from the right, the graph reaches a height of 4. The limit is 4. It does not matter if there is a hole at (2, 4), right?

For part (c), as I travel along on the x-axis coming from the left and right simultaneously, the graph reaches a height of 4. The limit is 4. It does not matter if there is a hole at (2, 4), right?

I conclude that the limit is 4.

You say?

I will answer 20 on a separate thread.

(a) lim of f(x) as x→2 from the left side.

(b) lim of f(x) as x→2 from the right side.

(c) lim of f(x) as x→2.

Question 18

For part (a), as I travel along on the x-axis coming from the left, the graph reaches a height of 4. The limit is 4. It does not matter if there is a hole at (2, 4), right?

For part (b), as I travel along on the x-axis coming from the right, the graph reaches a height of 4. The limit is 4. It does not matter if there is a hole at (2, 4), right?

For part (c), as I travel along on the x-axis coming from the left and right simultaneously, the graph reaches a height of 4. The limit is 4. It does not matter if there is a hole at (2, 4), right?

I conclude that the limit is 4.

You say?

I will answer 20 on a separate thread.