Question

lim x→∞ x³-2x²+1÷2x³+3²+5

Answer 1

Answer:

1/2

Step-by-step explanation:

$\lim_{x \to \infty} \frac{x^{3} -2x^{2}+1}{2x^{3}+3x^{2}+5}\\= \lim_{x \to \infty}\frac{ \frac{x^{3} -2x^{2}+1}{x^{3}}}{ \frac{2x^{3}+3x^{2}+5}{x^{3}}} \\=\lim_{x \to \infty} \frac{1 -2x^{-1}+x^{-3}}{2+3x^{-1}+5x^{-3}}\\\\=\frac{1 -2(0)+0}{2+3(0)+5(0)}\\=\frac{1}{2}$