Pertanyaan

Jika L, K adalah bilangan real dan x → 2 lim f ( x ) = K , x → 2 lim g ( x ) = K maka tentukan x → 2 lim f ( x ) − 2 f ( x ) + 2 .

Jika L, K adalah bilangan real dan $x \to 2 lim f (x) = K$ , $x \to 2 lim g (x) = K$ maka tentukan $x \to 2 lim \frac{f ( x ) + 2}{f ( x ) - 2}$ .

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

nilai .

nilai $table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator f left parenthesis x right parenthesis plus 2 over denominator f left parenthesis x right parenthesis minus 2 end fraction end cell equals cell fraction numerator straight L plus 2 over denominator straight L minus 2 end fraction end cell end table$ .

Pembahasan

Ingat sifat limit: Jadi nilai .

Ingat sifat limit:

$limit as x rightwards arrow a of open parentheses fraction numerator f left parenthesis x right parenthesis over denominator g left parenthesis x right parenthesis end fraction close parentheses equals fraction numerator limit as x rightwards arrow a of f left parenthesis x right parenthesis over denominator limit as x rightwards arrow a of g left parenthesis x right parenthesis end fraction$

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator f left parenthesis x right parenthesis plus 2 over denominator f left parenthesis x right parenthesis minus 2 end fraction end cell equals cell fraction numerator limit as x rightwards arrow 2 of f left parenthesis x right parenthesis plus limit as x rightwards arrow 2 of 2 over denominator limit as x rightwards arrow 2 of f left parenthesis x right parenthesis minus limit as x rightwards arrow 2 of 2 end fraction end cell row blank equals cell fraction numerator straight L plus 2 over denominator straight L minus 2 end fraction end cell end table$

Jadi nilai $table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator f left parenthesis x right parenthesis plus 2 over denominator f left parenthesis x right parenthesis minus 2 end fraction end cell equals cell fraction numerator straight L plus 2 over denominator straight L minus 2 end fraction end cell end table$ .

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