Use the graph of
This is the limit as x approaches
from the left. Start on the curve at and move towards . What height is the function approaching?
This is the limit as
approaches from the right.
This limit exists if your answers to parts (a) and (b) are the same.
This is the value of the function at
. A function is not defined when there is an open dot.
Is the function continuous at
? Use your answers to parts (a) through (d) to justify your conclusion.
A function is continuous at a point if the limit exists and is equal to the function value at that point.