Pertanyaan

x → ∞ lim x 2 + 2 x 2 − 4 x + 5 . 3 8 x 3 − 2 x 2 + 5 = ...

$x \to \infty lim \frac{x ^{2} - 4 x + 5 . 3 8 x ^{3} - 2 x ^{2} + 5}{x ^{2} + 2} = ...$

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A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Ambil koefisien pangkat tertinggi di masing - masing suku

$limit as x rightwards arrow infinity of fraction numerator square root of x squared minus 4 x plus 5 end root. cube root of 8 x cubed minus 2 x squared plus 5 end root over denominator x squared plus 2 end fraction$

Ambil koefisien pangkat tertinggi di masing - masing suku

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of fraction numerator square root of x squared end root. cube root of 8 x cubed end root over denominator x squared end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator x open parentheses 2 x close parentheses over denominator x squared end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator 2 x squared over denominator x squared end fraction end cell row blank equals cell 2 over 1 end cell row blank equals 2 end table$