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quiz4Bsol - Solutions to Quiz 4B www.math.u.edu/harringt...

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Solutions to Quiz 4B www.math.ufl.edu/˜harringt February 9, 2008 1. Suppose that g ( x ) is a continuous function on [1 , 2]. Furthermore, we know that g (1) < 0 and g (2) > 0. What does the Intermediate Value Theorem tell us? The Intermediate Value tells use that there exists a c (may not be unique) in the interval of (1 , 2) such that f ( c ) = 0. NOTE: Since g (1) = 0 and g (2) = 0 then we know c (1 , 2). If you put [1 , 2] that will be acceptable for this quiz. 2. Evaluate the following limit: lim
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