Mathematics

Mathematics

Problem

Which statement best characterizes a removable discontinuity of a real-valued function at x=cx=c? a) Both one-sided limits exist and are equal, and the function value at x=cx=c equals that common limit. b) The limit as x→cx\to c is infinite, indicating a vertical asymptote at x=cx=c.},{ c) The two-sided limit as x→cx\to c exists and is finite, but f(c)f(c) is either undefined or not equal to that limit. d) The left-hand and right-hand limits differ at x=cx=c, even though f(c)f(c) is defined.

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