A function is graphed with an open circle at

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

Problem

A function

f

is graphed with an open circle at

(1,2)

. Points on the curve approach height

2

from both sides as

x

approaches

1

. Determine

\displaystyle \lim_{x\to 1}f(x)

and briefly explain your reasoning.