f(x)= x^3 - 1

5(x-1)(x-2)(x-3)

a) What is the domain of this function?

b) Analytically (using limit laws and algebra) compute the left and right limits at any real numbers not in the domain of f. Briefly explain your approach.

c) Does f have any vertical asymptotes, and what does part b. tell you about them?

d) Does f have any horizontal asymptotes? If so, find them analytically.