Question

Lim 5-x/3+2x para x > infinito

Answer 1

$\displaystyle \mathsf{\lim_{x \to \infty} \dfrac{5-x}{3+2x} \Longleftrightarrow}\\\\\\\mathsf{\lim_{x \to \infty} \dfrac{\frac{5}{x}-\frac{x}{x}}{\frac{3}{x}+\frac{2x}{x}} }\Longleftrightarrow\\\\\\\mathsf{\lim_{x \to \infty} \dfrac{\frac{5}{x}-1}{\frac{3}{x}+2} }\Longleftrightarrow\\\\\\\mathsf{\lim_{x \to \infty} \dfrac{\not{\frac{5}{x}}^{^{0}}-1}{\not{\frac{3}{x}}^{^0}+2} }\Longleftrightarrow \boxed{\mathsf{-\dfrac{1}{2}}}$