On the graph of a function

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

Problem

f

, there is an open circle at

(2,5)

. For

x

-values less than

2

but close to

2

f(x)

is within

0.01

5

. For

x

-values greater than

2

but close to

2

f(x)

is also within

0.01

5

. The point

(2,1)

is a filled dot on the graph. Determine

\displaystyle \lim_{x\to 2} f(x)