Pertanyaan

Tentukan nilai Iimit berikut. . x → 2 lim x 3 − 5 x 2 + 6 x 2 x 3 − 16

Tentukan nilai Iimit berikut.

. $x \to 2 lim \frac{2 x ^{3} - 16}{x ^{3} - 5 x ^{2} + 6 x}$

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator 2 x cubed minus 16 over denominator x cubed minus 5 x squared plus 6 x end fraction equals limit as x rightwards arrow 2 of fraction numerator 2 open parentheses x cubed minus 8 close parentheses over denominator x open parentheses x minus 3 close parentheses open parentheses x minus 2 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 2 of fraction numerator 2 open parentheses x minus 2 close parentheses open parentheses x squared plus 2 x plus 4 close parentheses over denominator x open parentheses x minus 3 close parentheses open parentheses x minus 2 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 open parentheses 2 squared plus 2 times 2 plus 4 close parentheses over denominator 2 open parentheses 2 minus 3 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 24 over denominator negative 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals negative 12 end style$