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Unformatted text preview: infinity (vertical asymptote) One sided Continuity one sided limit Theorem: f and g continuous implies 1. f + or g continuous 2. f * g continuous 3. f/g or g/f continuous where defined 4. c*f continuous Theorem: 1. Polynomials are continuous everywhere 2. Rational functions are continuous where defined 3. Roots are continuous where defined 4. Trigs are continuous where defined Theorem: if f(x) is continuous then lim f(g(x)) is f(lim g(x)) The intermediate Value Theorem: Given: f(x) continuous on [a,b] and N between f(a) and f(b). Then: there exists a C so that a<c<b and f(c) = N...
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This note was uploaded on 04/07/2008 for the course MATH 161 taught by Professor Algier during the Spring '08 term at Grove City.
 Spring '08
 Algier
 Continuity

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