M2-Ch4 - M2 M2 Calculus Fall 2011 Review Ch1 i x a x a iff...

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Unformatted text preview: M2 M2 Calculus Fall 2011 Review Ch1 i x a x a iff a x < <- < | | a x or x a iff a x <- | | ) ( x f y = ) ( ) ( x f x f- =- ) ( ) ( x f x f =- b mX Y + = 1 2 1 2 x x y y x y m-- = = x y b 1 2 1- = m m 2 1 m m = Review Ch1 Composition: Example: )) ( ( ) )( ( x g f x g f = x x x g x x f +- = = 1 1 ) ( sin ) ( ) 1 1 sin( ) 1 1 ( )) ( ( ) )( ( x x x x f x g f x g f +- = +- = = x x x g x f g x f g sin 1 sin 1 ) (sin )) ( ( ) )( ( +- = = = t t t t f g t g f sin 1 1 ) )( ( ) )( ( +- = = t t t t f g t g f sin 1 1 ) )( ( ) )( ( + +- = + = + Limits 1. Left hand limit 2. Right hand limit 3. Limit Limits and Continuity Chapter 2 Continuity If Then L x f c x =- ) ( lim M x f c x = + ) ( lim Exists x f c x = ) ( lim M L x f c x M L iff = = = ) ( lim Exists x f c x = ) ( lim ) ( ) ( lim c f x f c x and = c x at continuous is x f = ) ( exist not does it the M L If lim , Rules 1. Limit Limits and Continuity Chapter 2 Continuity 1. If 2. Then...
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M2-Ch4 - M2 M2 Calculus Fall 2011 Review Ch1 i x a x a iff...

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