Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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COURSE: Mathematical Analysis/Real Analysis (CC3)

TOPIC: Continuity + Connectedness 

Let f(x), g(x) be continuous on the interval [a, b]. Suppose f(a) < g(a) and
f (b) > g(b). Prove there is a point p in the interval [a, b] where f(p) = g(p).
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Transcribed Image Text:Let f(x), g(x) be continuous on the interval [a, b]. Suppose f(a) < g(a) and f (b) > g(b). Prove there is a point p in the interval [a, b] where f(p) = g(p).
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