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AP Calculus AB/BC
The left-handed limit of a function at a certain point is the value that the function approaches as x approaches that point from the left side. It represents the behavior of the function from values immediately to the left of that point.
The right-handed limit is the value that the function approaches as x approaches that point from the right side.
The two-sided limit exists when both the left-handed and right-handed limits exist and have equal values.
A continuous function has no discontinuities, meaning its graph can be drawn without lifting your pencil from paper.