A function is described below: • For ,

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

A function

h

is described below: • For

-4 < x < -1

h(x)=x+3

. • At

x=-1

, there is an open circle at

(-1,2)

and a filled dot at

(-1,0)

. • For

-1 < x < 2

h(x)=2

. • At

x=2

, the graph has a vertical asymptote;

h(x)\to +\infty

x\to 2^{-}

and

h(x)\to -\infty

x\to 2^{+}

. • For

x>2

h(x)=3x-4

. List all real numbers

c

for which

\displaystyle \lim_{x\to c} h(x)

exists but either

h(c)

is not defined or

h(c) \neq \lim_{x\to c} h(x)