Continuity of a function at a point

MathematicsFunctions & GraphsAges 16–17

A piecewise function joined at x₀, with an adjustable parameter m. The simulation computes the left-hand limit, the right-hand limit and the value f(x₀), then compares the three numbers to show that the function is continuous only when all three are equal — drag m to watch the broken graph join back together.