Pertanyaan

x → ∞ lim ( x − 1 ) ( x 2 + 1 ) ( 4 x − 1 ) ( x 2 + 2 ) = ...

$x \to \infty lim \frac{( 4 x - 1 ) ( x ^{2} + 2 )}{( x - 1 ) ( x ^{2} + 1 )} = ...$

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A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow infinity of fraction numerator open parentheses 4 x minus 1 close parentheses open parentheses x squared plus 2 close parentheses over denominator open parentheses x minus 1 close parentheses open parentheses x squared plus 1 close parentheses end fraction$

$equals limit as x rightwards arrow infinity of fraction numerator 4 x cubed plus 8 x minus x squared minus 2 over denominator x cubed plus x minus x squared minus 1 end fraction. fraction numerator begin display style 1 over x cubed end style over denominator begin display style 1 over x cubed end style end fraction equals limit as x rightwards arrow infinity of fraction numerator 4 plus begin display style 8 over x squared end style minus begin display style 1 over x end style minus begin display style 2 over x cubed end style over denominator 1 plus begin display style 1 over x squared end style minus begin display style 1 over x end style minus begin display style 1 over x cubed end style end fraction equals 4$