1. CHAPTER 2: LIMITS AND DEFINITION OF DERIVATIVE Group 3: Katie Blackburn, Danielle D’Onofrio, Mike Ghen

2. Definition of A Derivative

3. Conditions of Continuity at “a” Must exist F(a) must = F(a) must exist

4. Main Limit Theorems

5. Direct substitution  Simply replace x (or the variable) with the value that x is approaching.

6. Use Algebra (Conjugate method)  Use algebra to get rid of 0 in denominator.

7. Limits to Infinity  If the degree of the numerator is smaller than that of the denominator  Limit f(x)=0  If the degree of the numerator is the same as the denominator  Limit f(x)= ratio of the leading coefficients  If the degree of the numerator is larger than that of the denominator  Limit f(x)=

8. Special Limits