1. AIM : What are some properties of limits (Limit Laws)? Do Now: Find f(x), the limit of x from the left, right, and the entire limit for: 1. x  -2 2. x  1 3. x  3 HW2.3 – Pg. 82-3 #3, 5, 12, 16, 25, 27

2. Find f(x), the limit of x from the left, right, and the entire limit for: 1. x  -2 2. X  1 3. X  3 HW2.3 – Pg. 82-3 #3, 5, 12, 16, 25, 27

3. HOMEWORK ANSWERS! HW2.2b – p76-7 # 3, 9, 22, 39, 40, 48 HW2.2b – p76-7 # 3, 9, 22, 39, 40, 48

4. Let’s evaluate… a) graphically b) numerically

6. Some other important limit behaviors…

7. More Practice If and, find:

8. How do we deal with these limits?

9. Quiz Wednesday Finding the slope of the secant or tangent line Finding the equation of the tangent line Finding limits graphically and numerically Finding one-sided limits Graphing piecewise functions and finding limits Finding limits algebraically

10. Practice 1.Find the limit as x → 0 + of f(x) = xlnx numerically by creating a table. 2.Estimate the limit graphically and numerically: 3.Find the avg ROC of y = 3x 2 - 4 between [2, 4] 4.Find the instantaneous ROC of y = 3x 2 - 4 at x = 2 5.Evaluate:

11. AP Practice – No Calculator If, then is a)ln9 b) ln27 c)3ln3 d)3 + ln3 e)non-existent