Explain why the function

Chapter 4, Problem 52

(choose chapter or problem)

Explain why the function

\(f(t)=\left\{\begin{array}{lr}t, & 0 \leq t<2 \\4, & 2<t<4 \\1 /(t-4), & t>4\end{array}\right.\)

is not piecewise continuous on \([0, \infty)\).

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