Define F(x)={x2−1x−1,x<1ex−1,1≤x<3⌊x⌋,x≥3F(x)=\begin{cases}\dfrac{x^{2}-1}{x-1}, & x<1\\ e^{x-1}, & 1\le x<3\\ \lfloor x\rfloor, & x\ge 3\end{cases}…

Mathematics

Problem

Define F(x)={x2−1x−1,x<1ex−1,1≤x<3⌊x⌋,x≥3F(x)=\begin{cases}\dfrac{x^{2}-1}{x-1}, & x<1\\ e^{x-1}, & 1\le x<3\\ \lfloor x\rfloor, & x\ge 3\end{cases} Identify every xx-value at which FF is discontinuous on (−∞,∞)(-\infty,\infty) and classify each discontinuity as removable, jump, or infinite.

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