Pertanyaan

Nilai dari:

Nilai dari: $\underset{\style{font-size:14px}{\mathrm x}\style{font-size:14px}\rightarrow\style{font-size:14px}\infty}{\style{font-size:14px}\lim}\frac{\style{font-size:14px}{\mathrm x}^\style{font-size:14px}2}{\style{font-size:14px}2\style{font-size:14px}{\mathrm x}^\style{font-size:14px}3\style{font-size:14px}-\style{font-size:14px}5\style{font-size:14px}{\mathrm x}\style{font-size:14px}-\style{font-size:14px}9}\style{font-size:14px}=\style{font-size:14px}.\style{font-size:14px}.\style{font-size:14px}.\style{font-size:14px}.$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

Nilai .

Nilai $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as straight x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator straight x squared over denominator 2 straight x cubed minus 5 straight x minus 9 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table end style$ .

Pembahasan

Konsep limit tak hingga: metode membagi dengan pangkat tertinggi Diketahui: Pangkat tertinggi adalah , maka pembilang dan penyebut dibagi oleh , maka diperoleh penyelesaiannyasebagai berikut: Jadi, Nilai .

Konsep limit tak hingga: metode membagi dengan pangkat tertinggi

Diketahui:

Pangkat tertinggi adalah , maka pembilang dan penyebut dibagi oleh , maka diperoleh penyelesaiannya sebagai berikut:

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow infinity of fraction numerator straight x squared over denominator 2 straight x cubed minus 5 straight x minus 9 end fraction end cell equals cell limit as straight x rightwards arrow infinity of fraction numerator begin display style straight x squared over straight x cubed end style over denominator begin display style fraction numerator 2 straight x cubed over denominator straight x cubed end fraction end style minus begin display style fraction numerator 5 straight x over denominator straight x cubed end fraction end style minus begin display style 9 over straight x cubed end style end fraction end cell row blank equals cell limit as straight x rightwards arrow infinity of fraction numerator begin display style 1 over straight x end style over denominator begin display style 2 minus 5 over straight x squared minus 9 over straight x cubed end style end fraction end cell row blank equals cell fraction numerator 0 over denominator 2 minus 0 minus 0 end fraction end cell row blank equals cell 0 over 2 end cell row blank equals 0 end table$

Jadi, Nilai $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as straight x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator straight x squared over denominator 2 straight x cubed minus 5 straight x minus 9 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table end style$ .