Pertanyaan

Tentukan nilai limit fungsi berikut ini: b) x → 0 lim x 2 + 4 x + 12 x 3 − 16 x + 24

Tentukan nilai limit fungsi berikut ini:

b) $x \to 0 lim \frac{x ^{3} - 16 x + 24}{x ^{2} + 4 x + 12}$

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

$begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator x cubed minus 16 x plus 24 over denominator x squared plus 4 x plus 12 end fraction equals 2 end style$

Pembahasan

Jadi,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator x cubed minus 16 x plus 24 over denominator x squared plus 4 x plus 12 end fraction end cell equals cell fraction numerator limit as x rightwards arrow 0 of x cubed minus 16 x plus 24 over denominator limit as x rightwards arrow 0 of x squared plus 4 x plus 12 end fraction end cell row blank equals cell fraction numerator 0 cubed minus 16 times 0 plus 24 over denominator 0 squared plus 4 times 0 plus 12 end fraction end cell row blank equals cell 24 over 12 end cell row blank equals 2 end table end style$

Jadi, $begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator x cubed minus 16 x plus 24 over denominator x squared plus 4 x plus 12 end fraction equals 2 end style$