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Unformatted text preview: # Calc College Calc Unit 3 erections . " TOPIC 2 HOMEWORK For \$ 1 - 4 , determine if the functions are continuous everywhere . If the functions are not continuous everywhere , determine the intervals where the functions are continuous . Use algebraic methods to junction . infinity support your answer . I I f ( 20 ) = 5 :2 flax ) = - 2 2 + 4.2 + 3 1 ) 2x + 4 - VA at X = - 2 2 ) ( X + 3) ( K^ ) 2 X = - 4 * = - 2 So lim fix ) DNE X = - 3 X = - X -3 - 2 are VAS , so lim DUE Not continuous at X = - 2 So , not continuous at X = - 3 , - 1 " ( - 00 , - 2) V ( - 2 , 00 ) ( - 00 , - 3) U ( - 3 , - 1 ) V ( - 1 , 00 ) \$ ( x ) = ) - - - ? .| * 50 flix ) = 1 -*^ ^ ^ ^ _ holed x = 1 3 ) - * 2 + 28 - 2, 1 2 0 10 . * = , * poing 4 ) f ( 1 ) = 0 limflex ) _ _ _ _ = = - 2\ limfly ) = - 12 = - 1 2 0 1 1 ] X -30 - Rim fix ) = - 0 # + 2 (.0 ) - 2 = _ 2 K F) * * so lim DNF * 7 1 X -30 50 lim fix) & f (! ) So not continuous X + 1 at x = 0 so not continuous 1 06 X *( - 00 , 0) U ( 0 , 00 ) at x = 1 \ ( - 00 , 1 ) V ( 1 , 00 )\ OLDIES BUT GOODIES 4 ) Find the following limits of the function graphed below ." .` ... .^ ^ ^ ^ ^ ^ lim * - 1- 8 ( x ) =_ _ _ Jim*_ 1 + 8 ( * ) = - 1 ` ......... good . . . . .. . 1 0 0 0 0 0^ lim* - 1 f (* ) = _ \\ lim*_ _ 2 f ( XX ) = DNE .... . . . .. ` `. .... . .... ..... ]. . `. . . . .. . . .._ _ _ 27 - - - - { _ _^ ^ ^ lim * _ _ _ f ( * ) = 400 f ( - 2 ) = 3_ F(1) = 5\...
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