(Q&A) The rational function is G(x)=7x^2-6x-1/x^2-1. As x approaches -infinity, what is G(x)?

Q: The rational function is G(x)=7x^2-6x-1/x^2-1. As x approaches -infinity, what is G(x)?

A: [7x^2 - 6x - 1] /(x^2-1)

=(7x+1)(x-1)/(x+1)(x-1)

=(7x+1)/(x+1)

lim x--->∞ (7x+1)/(x+1) = ∞/∞, since it is indeterminate form apply

L'Hopital's rule

lim x --->∞ derivative of (7x+1) / derivative of (x+1) = 7/1 = 7