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Andru [333]
3 years ago
15

What is the oblique asymptote of the function f(x) = the quantity of x squared plus x minus 2, all over x plus 1

Mathematics
1 answer:
Korvikt [17]3 years ago
7 0
Hello,

y=ax+b is the asymptote
with
$a=  \lim_{n \to \infty}  \frac{f(x)}{x}=\lim_{n \to \infty}  \dfrac{x^2+x-2}{x^2+x}=1\\\\

$b= \lim_{n \to \infty} f(x)-ax= \lim_{n \to \infty} \frac{x^2+x-2}{x+1}-x= \lim_{n \to \infty} \frac{-2}{x+1}=0  $

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