- #1
Glissando
- 34
- 0
Homework Statement
Sketch the graphs of f(x) = (x^3)/(x^2-1) showing vertical and horizontal asymptotes and relative extrema
Homework Equations
Zeroes, limits
The Attempt at a Solution
I've actually figured out the question; No horizontal asymptote, max at (-sqrt(3), -3sqrt(3)/2), Dec. plateau at (0,0) and minimum at (sqrt(3), 3sqrt(3)/2) the only problem I have is with the vertical asymptote.
Vertical asymptote = + or - 1
Everything is fine until i get to:
lim -13/(-1-)2-1 = -1/0- = +infinity
x->-1-
But on my graphing calculator it shows it going towards negative infinity when it approaches -1 from the left side ):
Thanks for the help!