Chapter 1, Problem 10PS

To determine

To Graph: The function $f\left(x\right)=〚\frac{1}{x}〛$.

To determine

To calculate: a)$f\left(\frac{1}{4}\right),f\left(3\right),\text{ and }f\left(1\right).$

b) $\underset{x\to 1^{-}}{\lim }f\left(x\right),\underset{x\to 1^{+}}{\lim }f\left(x\right),\underset{x\to 0^{-}}{\lim }f\left(x\right)\text{ and }\underset{x\to 0^{+}}{\lim }f\left(x\right)$

c) Discuss the continuity of the function.