9596. Classifying discontinuities The discontinuities in

Chapter 2, Problem 95

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9596. Classifying discontinuities The discontinuities in graphs (a) and (b) are removable discontinuities because they disappear if we define or redefine f at a so that f 1a2 = lim xSa f 1x2. The function in graph (c) has a jump discontinuity because left and right limits exist at a but are unequal. The discontinuity in graph (d) is an infinite discontinuity because the function has a vertical asymptote at a. Is the discontinuity at a in graph (c) removable? Explain.

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