Pertanyaan

Carilah nilai limit berikut x → 4 lim x 2 − 16 3 x 3 − 48 x

Carilah nilai limit berikut

$x \to 4 lim \frac{3 x ^{3} - 48 x}{x ^{2} - 16}$

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Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator 3 x cubed minus 48 x over denominator x squared minus 16 end fraction end cell equals cell limit as x rightwards arrow 4 of fraction numerator 3 x open parentheses x squared minus 16 close parentheses over denominator x squared minus 16 end fraction end cell row blank equals cell limit as x rightwards arrow 4 of 3 x end cell row blank equals cell 3 open parentheses 4 close parentheses end cell row blank equals 12 end table end style$