If $\lim_{x\to\infty} f(x)= +\infty$, prove that $$\lim_{x\to\infty} \dfrac{x(f(x)^2) + 2f(x) + x}{x(f(x)^2) + xf(x) + 2f(x) - 3}= 1.$$
2026-04-03 11:04:02.1775214242
limit calculation to infinity 123
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Hint: Divide the numerator by $x(f(x))^2$, divide the denominator by $x(f(x))^2$.