As approaches

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

Problem

x

approaches

3

, a function

p

behaves in this way: •

p(x)

decreases without bound when

x

approaches

3

from the left. •

p(x)

approaches

4

when

x

approaches

3

from the right. State (a)

\displaystyle \lim_{x\to 3^-} p(x)

and (b)

\displaystyle \lim_{x\to 3} p(x)