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In mathematics, a limit point, accumulation point, or cluster point of a set S {\displaystyle S} in a topological space X {\displaystyle X} is a point x {\displaystyle x} that can be approximated by

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Move the x slider and note the area on the left and the value of the accumulation function/antiderivative on the right. The antiderivative on the right changes from -1 to 1 at x =

Since arg ( z) ≥ 0, it includes the x -axis on the complex plane (except z = 0 ). By contrast, arg ( z) {

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An accumulation point is sometimes called a limit point [3]; This stems from the idea is that x is a limit of a non-constant sequence in the set. A point x can be approximated by other points in

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