... >> Mathematics >> Mathematical Analysis >> Bolzano's Theorem
Highest Rated Sign
Nobody has posted a sign yet.
Definition: Let f be real-valued and continuous on a compact interval [a, b] in R, and suppose that f(a) and f(b) have opposite signs; that is, assume f(a)g(b) < 0. Then there is at least one point c in the open interval (a, b) such that f(c) = 0.
Source: Mathematical Analysis, second edition by Tom M. Apostol