Pertanyaan

x → 0 lim x 5 + 3 x 3 + 6 x 2 + 3 x 3 x 5 + 4 x 3 + 5 x 2 + 6 x = ....

$x \to 0 lim \frac{3 x ^{5} + 4 x ^{3} + 5 x ^{2} + 6 x}{x ^{5} + 3 x ^{3} + 6 x ^{2} + 3 x} = ....$

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow 0 of fraction numerator 3 straight x to the power of 5 plus 4 straight x cubed plus 5 straight x squared plus 6 straight x over denominator straight x to the power of 5 plus 3 straight x cubed plus 6 straight x squared plus 3 straight x end fraction end cell equals cell limit as straight x rightwards arrow 0 of fraction numerator 3 straight x to the power of 5 plus 4 straight x cubed plus 5 straight x squared plus 6 straight x over denominator straight x to the power of 5 plus 3 straight x cubed plus 6 straight x squared plus 3 straight x end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator 3 straight x to the power of 4 plus 4 straight x squared plus 5 straight x plus 6 over denominator straight x to the power of 4 plus 3 straight x squared plus 6 straight x plus 3 end fraction end cell row blank equals cell fraction numerator 0 plus 0 plus 0 plus 6 over denominator 0 plus 0 plus 0 plus 3 end fraction end cell row blank equals 2 end table end style$