Identifying Discontinuity from Limit Properties
Let f be a function that is continuous on the intervals (-∞, 0) and (0, ∞). If f(0) = 2, lim(x→0⁻) f(x) = 1, and lim(x→0⁺) f(x) = 3, which of the following statements best describes f at x = 0?
A
f has a jump discontinuity at x = 0
B
f has a removable discontinuity at x = 0
C
f has an infinite discontinuity at x = 0
D
f is continuous at x = 0
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