Nilai dari x→∞lim(4x2−8x+3−2x−4)=....

Pertanyaan

$\mathrm{Nilai}\;\mathrm{dari}\;\lim_{x\rightarrow\infty}\left(\sqrt{4x^2-8x+3}-2x-4\right)=....$

-8
-6
2
6
8

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

$I n g a t space r u m u s limit as x rightwards arrow infinity of open parentheses square root of a x squared plus b x plus c end root space minus space square root of a x squared plus q x plus r end root close parentheses space equals space fraction numerator b minus q over denominator 2 square root of a end fraction limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 8 x plus 3 end root minus square root of left parenthesis 2 x plus 4 right parenthesis squared end root close parentheses limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 8 x plus 3 end root space minus space square root of 4 x squared plus 16 x plus 16 end root close parentheses space equals space fraction numerator negative 8 minus 16 over denominator 2 square root of 4 end fraction equals negative 24 over 4 equals negative 6$