Pertanyaan

Jika x → a lim f ( x ) = 8 , x → a lim g ( x ) = − 5 dan x → a lim h ( x ) = 2 . Nilai dari x → a lim 4 h ( x ) 2 f ( x ) + 3 g ( x ) = ...

Jika $x \to a lim f (x) = 8$ , $x \to a lim g (x) = - 5$ dan $x \to a lim h (x) = 2$ . Nilai dari $x \to a lim \frac{2 f ( x ) + 3 g ( x )}{4 h ( x )} = ...$

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

nilai adalah

nilai $begin mathsize 14px style limit as x rightwards arrow a of fraction numerator 2 f left parenthesis x right parenthesis plus 3 g left parenthesis x right parenthesis over denominator 4 h left parenthesis x right parenthesis end fraction end style$ adalah

Pembahasan

Jadi, nilai adalah

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow a of fraction numerator 2 f left parenthesis x right parenthesis plus 3 g left parenthesis x right parenthesis over denominator 4 h left parenthesis x right parenthesis end fraction end cell equals cell fraction numerator limit as x rightwards arrow a of 2 f left parenthesis x right parenthesis plus limit as x rightwards arrow a of 3 g left parenthesis x right parenthesis over denominator limit as x rightwards arrow a of 4 h left parenthesis x right parenthesis end fraction end cell row blank equals cell fraction numerator 2 limit as x rightwards arrow a of f left parenthesis x right parenthesis plus 3 limit as x rightwards arrow a of g left parenthesis x right parenthesis over denominator 4 limit as x rightwards arrow a of h left parenthesis x right parenthesis end fraction end cell row blank equals cell fraction numerator 2 cross times 8 plus 3 cross times left parenthesis negative 5 right parenthesis over denominator 4 cross times 2 end fraction end cell row blank equals cell fraction numerator 16 minus 15 over denominator 8 end fraction end cell row blank equals cell 1 over 8 end cell end table end style$

Jadi, nilai $begin mathsize 14px style limit as x rightwards arrow a of fraction numerator 2 f left parenthesis x right parenthesis plus 3 g left parenthesis x right parenthesis over denominator 4 h left parenthesis x right parenthesis end fraction end style$ adalah

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