Nilai lim x mendekati tak hingga (x+2)(x-3) / (4x²-1)(x+5)

Nilai lim x mendekati tak hingga (x+2)(x-3) / (4x²-1)(x+5)

Jawab:

Penjelasan dengan langkah-langkah:

$begin{aligned}lim_{x to infty} frac{(x+2)(x-3)}{(4x^{2}-1)(x+5)}&= lim_{x to infty} frac{x^{2}-x-6}{4x^{3}+20x^{2}-x-5}.frac{frac{1}{x^{3}}}{frac{1}{x^{3}}}\&= lim_{x to infty} frac{frac{1}{x}-frac{1}{x^{2}}-frac{6}{x^{3}}}{4+frac{20}{x}-frac{1}{x^{2}}-frac{5}{x^{3}}}\&=frac{0-0-0}{4+0-0-0}\&=frac{0}{4}=0end{aligned}$