1. AIM: How do we find limits of a function graphically?
Do Now:
Find the equation of the tangent line y = x2 at x = -2
HW2.2a - p77 – 78
# 7, 8, 37, 38, 44, 45, 46, 47, 49

2. Find the equation of the tangent line y = x2 at x = -2

3. HW2.1: p66-67 #9,10,19,22,23
HOMEWORK ANSWERS?

4. What is a limit?
As x gets closer and closer to a value, what does y get closer and closer to?
The approach is more important than the actual value!
What happens as:
X → 2?
X → 4?
X → 6?
X → 8?
What happens as “x approaches 2” or as “x tends to 2”?

5. Does the limit exist at “a hole”?
The limit itself exists if f(x) approaches or converges to a value regardless if f(x) exists.
Let the following graph be f(x)
The limit of f(x) “approaches” or “converges” to…

6. The limit itself exists if both one-sided limits exist and are equal.
What is the limit at x = 0?
“approaches 0 from the right”
“approaches 0 from the left”

7. Infinite Limits?

8. Practice 1. 2. 3. 4. 5. 6.
When does a limit exist???

9. Challenge
Draw the graph of a function given the following: