CONCEPTS TO MEMORIZE: Limit: xalim f (x)L→=means that f(x) can made as close to L as we want, when x is very close to a. lim f (x)→=∞means that f(x) can made arbitrary large, when x is made very close to a. lim f (x)→=−∞means that f(x) can made arbitrary small, when x is made very close to a. Continuity: f is continuous at x = a if lim f (x)f (a)→=Intermediate Value Theorem: Let f(x) be a continuousfunction on the interval (a, b), and let f(a) f(b). If N is any number between f(a) and f(b), ≠then there is a point c in the open interval (a, b) such that f(c) = N. Other version: Let f(x) be a
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This note was uploaded on 04/18/2008 for the course MATH 210 taught by Professor Zhoramanseur during the Spring '08 term at SUNY Oswego.