Chapter 2.2, Problem 43E

Determine $\underset{x\to 1^{-}}{\lim }\frac{1}{x^3-1}$ and $\underset{x\to 1^{+}}{\lim }\frac{1}{x^3-1}$

(a) by evaluating f(x) = l/(x³ – 1) for values of x that approach 1 from the left and from the right,

(b) by reasoning as in Example 9, and

(c) from a graph of f

EXAMPLE 9

FIGURE 15