The graph of a function contains an open circle at and a solid point at

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The graph of a function

h

contains an open circle at

(3,7)

and a solid point at

(3,4)

. For all

x\neq3

sufficiently close to 3, the

y

-coordinates of points on the graph of

h

are within

0.01

of 7. Determine the value of

\displaystyle \lim_{x\to3} h(x)

and state

h(3)