Chapter 2, Problem 9CRQ

(a)

To determine

To fill: The statement “ $\underset{x\to a^{+}}{\lim }f\left(x\right)=L$ is similar to the statement $\underset{x\to a}{\lim }f\left(x\right)=L$, but here x is required to lie to the __________ of a”.

(b)

To determine

To fill: The statement “ $\underset{x\to a^{-}}{\lim }f\left(x\right)=L$ is similar to the statement $\underset{x\to a}{\lim }f\left(x\right)=L$, but here x is required to lie to the __________ of a”.

(c)

To determine

To fill: The statement “ $\underset{x\to a}{\lim }f\left(x\right)=L$ if and only if both $\underset{x\to a^{-}}{\lim }f\left(x\right)=\underset{\_}{}$ and $\underset{x\to a^{+}}{\lim }f\left(x\right)=\underset{\_}{}$.