Question

Вычислите lim(x→∞)⁡ (4(x^)2+x+1)/(x^2-x+1)

Answer 1

$\lim_{x \to \infty} \frac{4x^2+x+1}{x^2-x+1}= \lim_{x \to \infty} \frac{ \frac{4x^2}{x^2} +\frac{x}{x^2} +\frac{1}{x^2} }{\frac{x^2}{x^2} -\frac{x}{x^2} +\frac{1}{x^2} }= \frac{4}{1} =4$