Question

What is the slant asymptote y=x^2-x+1/x+1

Answer 1

Explanation:

let : f(x) = (x²-x+1)/x+1

limf(x) = lim(x²/x) = limx = - -∞ and limf(x) =+ ∞

x → - -∞ x → +∞

lim/f(x)/ = ∞ ....... x = 1 is the line asymptote

limf(x)/x = 1

x → + -∞

lim (f(x) -x ) = -1 .....so y =x -1 is the second line asymptote

x → + -∞

x → 1