Lim ( x3 + 4x2 + 12) / (4x2 + 12x) x→∞ mohon dibantu lagi!.... Question from @elisarusnita

October 2018 2 295 Report

Lim ( x3 + 4x2 + 12) / (4x2 + 12x)
x→∞
mohon dibantu lagi!

Brillianttt Lim ( x³ + 4x² + 12) / (4x² + 12x) ⇒ pembilang dan penyebut dibagi x pangkat
x→∞ tertinggi yaitu x³
= Lim ( x³/x³ + 4x²/x³+ 12/x³) / (4x²/x³ + 12x/x³)
x→∞
= Lim ( 1 + 4/x+ 12/x³) / (4/x + 12/x²)
x→∞
= 1+0+0 / 0=0
= 1/0
= ∞

0 votes Thanks 1

izharulhaq78 $\displaystyle \lim_{x\to\infty}\frac{x^3+4x^2+12}{4x^2+12x}\\\lim_{x\to\infty}\frac{\frac{x^3}{x^3}+\frac{4x^2}{x^3}+\frac{12}{x^3}}{\frac{4x^2}{x^3}+\frac{12x}{x^3}}\\\lim_{x\to\infty}\frac{1+\frac{4}{x}+\frac{12}{x^3}}{\frac{4}{x}+\frac{12}{x^2}}\\\\\frac{1+\frac{4}{\infty}+\frac{12}{\infty^3}}{\frac{4}{\infty}+\frac{12}{\infty^2}}\\\frac{1+0+0}{0+0}\\\frac{1}{0}\\\boxed{\boxed{\infty}}$

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