Chapter 1.2, Problem 84E

Business and Economics

The candy Shoppe charge $0.08 per copy for quantities up to and including 100 copies. For quantities above 100, the charge is $0.06 per copy. If x represents the number of copies, the price function is

$p\left(x\right)=\{\begin{array}{l}0.08x,\text{for}x\le 100,\\ 0.06x,\text{for}x>100.\end{array}$

Find $\underset{x\to {100}^{-}}{\lim }p\left(x\right),\underset{x\to {100}^{+}}{\lim }p\left(x\right),\text{and}\underset{x\to 100}{\lim }p\left(x\right)$.