Suppose that f is continuous on [a.b] that f(x) 20 for all xE[a,b] and that f =0 1. Prove that f(x) = 0 for all x E[a,b]· 2. Can we drop the continuity of f assumption without altering the previous result ?
Suppose that f is continuous on [a.b] that f(x) 20 for all xE[a,b] and that f =0 1. Prove that f(x) = 0 for all x E[a,b]· 2. Can we drop the continuity of f assumption without altering the previous result ?
Suppose that f is continuous on [a.b] that f(x) 20 for all xE[a,b] and that f =0 1. Prove that f(x) = 0 for all x E[a,b]· 2. Can we drop the continuity of f assumption without altering the previous result ?
Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.
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