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closed interval
A closed interval [closed interval|closed interval] is a set of real numbers between a and b, inclusive.
Definition
A closed interval closed interval is a set of real numbers between a and b, inclusive. It requires continuity at every point within the interval and continuity from the right at a and from the left at b.
Mechanism
closed interval is a key component in the Mean <a href='/en/entity/value-theorem'>Value Theorem</a> for Integrals, which guarantees a value c within the interval where f(c) equals the average value of a continuous, nonnegative function defined on the interval.
Examples
closed interval If lim f(x) # f@, lifting the pencil to jump from f(a) to the graph over (a, 5] requires rest.