Question: In Exercises answer the questions for the piecewise defined function. (a) Find the right-hand and left-hand limits of at x = 1. (b) Does

In Exercises answer the questions for the piecewise defined function.

f(x)= [x 4x1, 2x - 2, - x < 1 x 1

(a) Find the right-hand and left-hand limits of ∫ at x = 1.
(b) Does ∫ have a limit as x→1? If so, what is it? If not, why not?
(c) At what points is ∫ continuous?
(d) At what points is ∫ discontinuous?

f(x)= [x 4x1, 2x - 2, - x < 1 x 1

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