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Unformatted text preview: / ( x 4 + 16) . (2) Show that the equation x = 1 + Z x cos( t ) t 2 + 4 dt has one and only one solution. (3) Recall that (by denition) lim x f ( x ) = L if and only if for every real number > 0 there is a real number x such that  f ( x )L  < for all x > x . Prove the following: lim x f ( x ) = L if and only if lim t + f (1 /t ) = L. (4) Show that for any real number c , lim x x + c xc x = e 2 c . 1...
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This note was uploaded on 10/12/2009 for the course MATH 134 taught by Professor Staff during the Fall '08 term at University of Washington.
 Fall '08
 Staff
 Math

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