Question

Cat este asimptota oblica?

Answer 1

y=mx+n
m=lim x tinde +,- infinit f(x)/x
n=lim x tinde =,- infinit f(x)-mx

Answer 2

Asimptota oblica are ecuatia de forma y=mx+n
m=lim$\lim_{x \to \infty} f(x)/x=\lim_{x \to \infty} \frac{ x^{2} +2}{x(x-1)} =\lim_{x \to \infty} \frac{ x^{2} +2}{ x^{2} -x}$=1
n=$\lim_{n \to \infty}(f(x)-x)= \lim_{n \to \infty}( \frac{x^{2} +2}{x-1} -x)=$
$\lim_{n \to \infty}( \frac{x^{2} +2- x^{2} +x}{x-1})=$
$\lim_{n \to \infty}( \frac{x+2}{x-1})=1$
y=x+1