Chapter 2, Problem 10CRQ

(a)

To determine

To fill: The statement “ If $f\left(a\right)$ is defined, $\underset{x\to a}{\lim }f\left(x\right)$ exists and $\underset{x\to a}{\lim }f\left(x\right)=f\left(a\right)$, then $f$ is ___________ at a”.

(b)

To determine

To fill: The statement “ If f is not continuous at a, then it is ________ at a”.

(c)

To determine

To fill: The statement “f is continuous on an interval I if f is continuous at _________ number in the interval”.