Calc Final Review Sheet

# Calc Final Review Sheet - Chapter 2(Exam I 2.1-2.5 2.7 mtan...

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Chapter 2 (Exam I: 2.1-2.5, 2.7) 0 0 tan ) ( ) ( lim 0 x x x f x f m x x - - = Conjugate trick You have (A+B) factor on top or bottom, involving a Multiply top and bottom by (A-B) RAT F - limits of rational functions can be found by substitution if the limit of the denominator is not 0. ) ( ) ( ) ( ) ( lim C Q C P x Q x P c x = Quotient Law - limit of a quotient of two functions is the quotient of their limits, if the limit of the denominator is not 0. x x x x x 97 lim 5 3 lim 97 5 3 lim 3 + = + 2.3 (example in notes) Consider a function f(x) and particular numbers x 0 and L such that f(x) is defined at least in some open interval surrounding x=x 0. We say that the limit of f(x) as x approaches x 0 is the number L and write: L x f x x = ) ( lim 0 If for every number ε > 0 there exists a corresponding number δ > 0 such that for all x: 0 < < - 0 x x δ < - L x f ) ( ε Indeterminate Limit Forms 0 0 , , 0 , 0 0 , 1 Determinate Limit Forms + 0 5 , 0 2 3 , 42 + , 8 - , 57 0 , 3 5 , + 0

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Calc Final Review Sheet - Chapter 2(Exam I 2.1-2.5 2.7 mtan...

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