Numerical Methods, Mathematical Analysis, Programming, Functional Analysis.
formally, if f(a) x f(b) < 0, then there exists at least one real root of f(x) inside the interval [a,b]. Of course, in Bolzano’s theorem, f(x) must be continuous. This is not true for f(x) = 1/x, for example: a non-continuous function f(x) = 1/x which is not continuous on x = 0. If f(x) is always