1. Ch.5 Limits & Derivatives Theorems on limits of functions a. b. c. d. e. f.

2. Ch.5 Limits & Derivatives Limits of a Polynomial Function then is a polynomial function, If

3. Ch.5 Limits & Derivatives Evaluation of Limits Case 1 Constant Case 2 Zero Case 3 Does not exist /

4. Ch.5 Limits & Derivatives Case 4 Indeterminate form Apply theorems on Limits of Function (a) Cancel common factors or (b) Rationalizing the denominator or (c) Reducing the function to lowest form Step 1 Step 2

5. Ch.5 Limits & Derivatives (a) Cancel common factors or (b) Rationalizing the denominator or (c) Reducing the function to lowest form Step 1 (i)(ii)

6. Ch.5 Limits & Derivatives Some important limits of function

7. Ch.5 Limits & Derivatives Derivatives of Functions

8. Ch.5 Limits & Derivatives Derivatives of Functions － first principles

9. Ch.5 Limits & Derivatives Derivatives of Functions Geometric Interpretation ： gradient of tangent