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Calc 1 WA2

# Calc 1 WA2 - Calculus I Thomas Edison WA2 Section 2.2 x lim...

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Calculus I Thomas Edison WA2 Section 2.2 40) ( 29 ( 29 ( 29 3 lim 2 5 1 0 2 5 1 2 3 0 3 3 2 5 1 ( ) x x given x x let if x x x f x L ε ε ε δ ε δ δ ε ε ε ε - + = - + + < + < = = < + < = + < + + < + < Section 2.3 42) 2 2 0 2 2 2 2 2 3 ( ) ) lim ( ) )lim ( ) 3 2 (3)( 2) 4 6 ) 5 2 2 3 0 (3)(0) ) 0 3 x x x x h x x a h x b h x x x a x x x b x x x x x g - g - = - - - - + = = = - - - - - = - = ( 3) x x - 2 0 3 0 3 3 lim ( ) 5 lim ( ) 3 x x x h x h x g - g = - = - = - = - = -

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46) 2 2 1 2 1 2 3 (2)( 1) ( 1) 3 0 lim ( ) 0 1 ( 1) 1 0 ( 1) 2 3 lim ( ) 1 x x x x g x x x x x f x x g - g - - - - - - - = = = = + - + + - - = = + (2 3) ( 1) x x - + 1 1 2 3 (2)( 1) 3 1 1 lim ( ) lim ( ) 1 ( ) ( ) 1 x x x L g x f x g x f x except at x v - - = + = - + = = = = = = - 52) 2 3 2 3 3 3 lim ( ) 0 9 9 9 (3 ) 3 9 x x f x x x x x g - - = = = - - - - = - ( 29 ( 29 3 3 x x - - - + 1 1 1 ( 3) 3 ( 3) 6 x = = = - - - + - - 58) ( 29 3 1 2 0 lim ( ) 3 0 3 1 2 1 2 3 1 2 x x f x x x x x x x g + - = = - - �� + - + + = �� �� - + + �� ( 29 3 x - ( 29 1 1 1 4 1 2 4 2 1 2 x x = = = + + + + + 60) ( 29 ( 29 0 1 1 4 4 0 lim 0 1 1 4 4 ( ) 4 ( 4) (4) ( 4) x x x x x x x x x g � � - � � � + � � = = � � - � � � + - � � - + = = + (4) ( ) x 1 1 1 (4)( 4) (4)(0 4) 16 ( 4) x x - - = = = - + + +
62) 2 2 2 2 0 2 2 2 2 2 2 ( ) ( ) lim 0 2( ) ( ) ( ) ( )( ) ( ) 2( )( ) ( ) x x x x x x x x x x x x x x x x x x x x x x x x x x g + - + - = = + - + + + + + - = = = V V V V V V V V V V V V V 2 ( ) x + V x V 2 x = 72) 0 ( )( ) 0 lim 0 ( ) ( ) ( )( ) Cos Tan

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Calc 1 WA2 - Calculus I Thomas Edison WA2 Section 2.2 x lim...

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