Let g(x)= (x-1) x^ 2 -9

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

g(x)=\frac{\ln(x-1)}{x^{2}-9}.

At which of the following real numbers is

g

discontinuous? (a)

x=3

\, only (b)

x=1\text{ and }x=3

(c)

x=1

\, only (d)

x=-3,\,1,\,3