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Published byZoe Hawkins Modified over 9 years ago
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CHAPTER 2: LIMITS AND DEFINITION OF DERIVATIVE Group 3: Katie Blackburn, Danielle D’Onofrio, Mike Ghen
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Definition of A Derivative
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Conditions of Continuity at “a” Must exist F(a) must = F(a) must exist
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Main Limit Theorems
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Direct substitution Simply replace x (or the variable) with the value that x is approaching.
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Use Algebra (Conjugate method) Use algebra to get rid of 0 in denominator.
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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)=
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Special Limits
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