Problem

Can ƒ(x) = x(x2 – 1)/|x2 – 1| be extended to be continuous at x = 1 or -1? Give reasons...

Can ƒ(x) = x(x2 – 1)/|x2 – 1| be extended to be continuous at x = 1 or -1? Give reasons for your answers. (Graph the function—you will find the graph interesting.)

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