1. Topics in Precalc Mrs. Talleur Aim: What is a limit ?

2. Chi Ching!!!!!!!!!!!!!!!!!!!! 1. Factor: x 2 + 2x - 8x 2. If f(x) = 5x 3 - 2 Then find f(3) 3.Take out the ditto "Introduction to LIMITS" SPEED 30 limit

3. Lesson #1 1. What is the common sense definition of a limit? The intended height of a function 2. Based on the web example, , write out what this limit means: As x approaches 5, the height (limit) is 7. 3. How would it be possible to have a "hole" in the graph of a function? When it doesn't reach its intended height

5. Lesson #2 4. When does a general limit exist? When you approach a point from the right and left and the heights are the same. 5. What is meant by a right-hand limit and how is it denoted? A right-hand limit is when you arrive at a height from the right side. It is denoted with a + in the limit symbol

6. 6. What is meant by a left-hand limit and how is it denoted? A left-hand limit is when you arrive at a height from the left side. It is denoted with a - in the limit symbol 7. When a limit does not exist, there are two different ______________ or y-values for one x-value. Heights 8. Can a limit still exist if there is a hole at the given value? Yes!

7. X Y

8. Homework Lesson 3 on the ditto