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Unformatted text preview: November 18, 1999 SHOW ENOUGH WORK SO THAT THE MARKER KNOWS HOW YOU REACHED YOUR CONCLUSION. 1. lim x → ± 1 xcsc x ² . [4] [SEE OVER] 2. Find f . f ( x ) = 2 1+ x 2 and f ( 1 √ 3 ) = 1. [3] 3. (i) Find an approximate value of R 4 3 x dx by calculating the Riemann sum based on the midpoint rule, with a partition into four subintervals. [2] (ii) In terms of the graph of 3 x , is the answer you found too large or too small? [1]...
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 Fall '09
 ProfessorRoth
 Topology, Natural logarithm, Riemann integral, Bernhard Riemann

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