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Chapter 2: Limits and Definition of Derivative

Chapter 2: Limits and Definition of Derivative. Group 3: Katie Blackburn, Danielle D’Onofrio, Mike Ghen. Definition of A Derivative. Co nditions of Continuity at “a”. Must exist. F(a) must =. F(a) must exist. Main Limit Theorems. Direct substitution.

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Chapter 2: Limits and Definition of Derivative

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  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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