Question

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

Answer 1

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