Pertanyaan

Tentukan nilai dari: e. x → ∞ lim 2 x 2 + 4 8 x 2 + 2 x − 1

Tentukan nilai dari:

e. $x \to \infty lim \frac{8 x ^{2} + 2 x - 1}{2 x ^{2} + 4}$

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 8 x squared plus 2 x minus 1 over denominator 2 x squared plus 4 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator 8 x squared plus 2 x minus 1 over denominator 2 x squared plus 4 end fraction cross times fraction numerator begin display style 1 over x squared end style over denominator begin display style 1 over x squared end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator 8 x squared over denominator x squared end fraction end style plus begin display style fraction numerator 2 x over denominator x squared end fraction end style minus begin display style 1 over x squared end style over denominator begin display style fraction numerator 2 x squared over denominator x squared end fraction end style plus begin display style 4 over x squared end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style 8 plus 2 over x minus 1 over x squared end style over denominator begin display style 2 plus 4 over x squared end style end fraction end cell row blank equals cell fraction numerator 8 plus 0 minus 0 over denominator 2 plus 0 end fraction end cell row blank equals 4 end table$