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Cat este asimptota oblica?

Cat Este Asimptota Oblica class=

Răspuns :

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