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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 Group 3: Katie Blackburn, Danielle D’Onofrio, Mike Ghen
Conditions of Continuity at “a” Must exist F(a) must = F(a) must exist
Direct substitution • Simply replace x (or the variable) with the value that x is approaching.
Use Algebra (Conjugate method) • Use algebra to get rid of 0 in denominator.
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)=