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The key difference lies in the existence of the two-sided limit. In a jump discontinuity, the left and right limits exist but are unequal, so the two-sided limit does not exist.
Conditions: Comparing two types of discontinuities at an interior point.; One-sided limits are finite in both cases.
The key difference lies in the existence of the two-sided limit. In a jump discontinuity, the left and right limits exist but are unequal, so the two-sided limit does not exist.
Conditions: Comparing two types of discontinuities at an interior point.; One-sided limits are finite in both cases.