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Diketahui x → c lim ​ f ( x ) = 2 , x → c lim ​ g ( x ) = − 8 , dan x → c lim ​ h ( x ) = 3 . Tentukan nilai limit fungsi berikut. c. x → c lim ​ f ( x ) h ( x ) − g ( x ) ​

Diketahui , dan .

Tentukan nilai limit fungsi berikut.

c.  

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L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

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Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow c of square root of f left parenthesis x right parenthesis to the power of h left parenthesis x right parenthesis end exponent minus g left parenthesis x right parenthesis end root end cell equals cell square root of limit as x rightwards arrow c of open square brackets f open parentheses x close parentheses to the power of h open parentheses x close parentheses end exponent minus g open parentheses x close parentheses close square brackets end root space end cell row blank equals cell square root of limit as x rightwards arrow c of open square brackets open parentheses f left parenthesis x right parenthesis close parentheses to the power of h left parenthesis x right parenthesis end exponent close square brackets minus limit as x rightwards arrow c of g open parentheses x close parentheses end root end cell row blank equals cell square root of open square brackets limit as x rightwards arrow c of f left parenthesis x right parenthesis close square brackets to the power of h left parenthesis x right parenthesis end exponent minus limit as x rightwards arrow c of g open parentheses x close parentheses end root end cell row blank equals cell square root of open parentheses 2 close parentheses cubed minus open parentheses negative 8 close parentheses end root end cell row blank equals cell square root of 8 plus 8 end root end cell row blank equals cell square root of 16 end cell row blank equals 4 end table end style 

 

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Diketahui x → 2 lim ​ f ( x ) = 3 dan nilai limit berikut. ( i ) x → 2 lim ​ [ f ( x ) − f 2 ( x ) ] = 6 ( ii ) x → 2 lim ​ [ ( f ( x ) + 2 ) 2 − 4 f ( x ) ] = 13 ( iii ) x → 2 lim ​ [ f ( x ) − 2 ...

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