Question

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

Answer 1

Hello,

y=ax+b is the asymptote
with

`$a= \lim_(n \to \infty) (f(x))/(x)=\lim_(n \to \infty) (x^2+x-2)/(x^2+x)=1\\\\`

`$b= \lim_(n \to \infty) f(x)-ax= \lim_(n \to \infty) (x^2+x-2)/(x+1)-x= \lim_(n \to \infty) (-2)/(x+1)=0 $`