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Diketahui x → 3 lim ​ f ( x ) = 2 dan x → 3 lim ​ g ( x ) = − 3 . Nilai dari x → 3 lim ​ [ − 2 f ( x ) + 3 g ( x ) ] = ....

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A. Khairunisa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

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Pembahasan

Dengan menerapkan sifat limit , maka Jadi, nilai dari

Dengan menerapkan sifat limit begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow c of left square bracket f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis right square bracket end cell end table equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow c of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow c of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank g end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis x right parenthesis end cell end table end style, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of left square bracket negative 2 f open parentheses x close parentheses plus 3 g open parentheses x close parentheses right square bracket end cell equals cell negative 2 times limit as x rightwards arrow 3 of f open parentheses x close parentheses plus 3 times limit as x rightwards arrow 3 of g left parenthesis x right parenthesis end cell row blank equals cell negative 2 open parentheses 2 close parentheses plus 3 open parentheses negative 3 close parentheses end cell row blank equals cell negative 4 plus open parentheses negative 9 close parentheses end cell row blank equals cell negative 13 end cell end table end style 

Jadi, nilai dari begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of left square bracket negative 2 f left parenthesis x right parenthesis plus 3 g left parenthesis x right parenthesis right square bracket end cell end table equals negative 13 end style 

 

 

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Diketahui x → a lim ​ f ( x ) = − 1 dan x → a lim ​ g ( x ) = 6 . Tentukan nilai: a. x → a lim ​ [ f ( x ) + 6 1 ​ g ( x ) ]

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