Pertanyaan

x → ∞ lim 4 x 2 + 3 x 2 x + 1

$x \to \infty lim \frac{2 x + 1}{4 x ^{2} + 3 x}$

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Jawaban terverifikasi

Jawaban

$begin mathsize 14px style limit as x rightwards arrow infinity of space fraction numerator 2 x plus 1 over denominator 4 x squared plus 3 x end fraction equals 0 end style$

Pembahasan

Penyelesaian dari dari soal tersebut adalah sebagai berikut. Dengan demikian,

Penyelesaian dari dari soal tersebut adalah sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of space fraction numerator 2 x plus 1 over denominator 4 x squared plus 3 x end fraction end cell equals cell limit as x rightwards arrow infinity of space fraction numerator begin display style fraction numerator 2 x over denominator x squared end fraction end style plus begin display style 1 over x squared end style over denominator begin display style fraction numerator 4 x squared over denominator x squared end fraction end style plus begin display style fraction numerator 3 x over denominator x squared end fraction end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of space fraction numerator begin display style 2 over x plus 1 over x squared end style over denominator begin display style 4 plus 3 over x end style end fraction end cell row blank equals cell 0 over 4 end cell row blank equals 0 end table$

Dengan demikian, $begin mathsize 14px style limit as x rightwards arrow infinity of space fraction numerator 2 x plus 1 over denominator 4 x squared plus 3 x end fraction equals 0 end style$