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

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Presentation on theme: "CHAPTER 2: LIMITS AND DEFINITION OF DERIVATIVE Group 3: Katie Blackburn, Danielle D’Onofrio, Mike Ghen."— Presentation transcript:

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


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