Pertanyaan

x → ∞ lim x − 5 x 3 − 8 x − 9 = ....

$x \to \infty lim \frac{x ^{3} - 8 x - 9}{x - 5} = ....$

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Jawaban terverifikasi

Jawaban

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$limit as x rightwards arrow infinity of fraction numerator x cubed minus 8 x minus 9 over denominator x minus 5 end fraction equals infinity$ .

Pembahasan

Limit Tak Hingga Fungsi Aljabar Keterangan: Diketahui . Pangkat tertinggi variabel pembilang adalah 3 dan pangkat tertinggi variabel penyebut adalah 1. Maka nilai adalah: Jadi, .

Limit Tak Hingga Fungsi Aljabar

$begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator a subscript n x to the power of n plus a subscript n minus 1 end subscript x to the power of n minus 1 end exponent plus a subscript n minus 2 end subscript x to the power of n minus 2 end exponent plus... over denominator p subscript m x to the power of m plus p subscript m minus 1 end subscript x to the power of m minus 1 end exponent plus p subscript m minus 2 end subscript x to the power of m minus 2 end exponent plus... end fraction end cell equals L row L equals cell open curly brackets table attributes columnalign left end attributes row cell L equals 0 comma space n less than m end cell row cell table row cell L equals a subscript n over p subscript m comma space n equals m end cell row cell L equals infinity comma space n greater than m end cell end table end cell end table close end cell end table end style$

Keterangan:

Diketahui $limit as x rightwards arrow infinity of fraction numerator x cubed minus 8 x minus 9 over denominator x minus 5 end fraction$ .

Pangkat tertinggi variabel pembilang adalah 3 dan pangkat tertinggi variabel penyebut adalah 1.

n equals 3 space comma space m equals 1

Maka nilai $limit as x rightwards arrow infinity of fraction numerator x cubed minus 8 x minus 9 over denominator x minus 5 end fraction$ adalah:

$limit as x rightwards arrow infinity of fraction numerator x cubed minus 8 x minus 9 over denominator x minus 5 end fraction equals infinity$

Jadi, $limit as x rightwards arrow infinity of fraction numerator x cubed minus 8 x minus 9 over denominator x minus 5 end fraction equals infinity$ .