Question 1
For the function $f(x)=\frac{x^3-3x^2+2x+5}{x^2-1}$, what are the vertical asymptotes and the oblique asymptote?
Question 2
Determine the quadratic asymptote of $f(x)=\frac{3x^4-2x+1}{x^2+1}$.
Question 3
Identify the removable discontinuity and vertical asymptote of $f(x)=\frac{x^2-4}{x^2-3x+2}$.
Question 4
What is the horizontal asymptote of $f(x)=\frac{4x^2-7x+2}{2x^3+3x}$?
Question 5
For the function $f(x)=\frac{x^2+2x-3}{x^2-4}$, what is its domain restriction and its horizontal asymptote?