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Unformatted text preview: Exercise 3. Consider the power series expansion 1 12 xx 2 = X n =0 a n x n . Prove that, for each integer n 0, there is an integer m such that a 2 n + a 2 n +1 = a m . [Putnam Exam, 1999, A3] Exercise 4. Evaluate lim x 1 Y n =0 1 + x n +1 1 + x n x n . [Putnam Exam, 2004, B5]...
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This note was uploaded on 02/29/2012 for the course MATH 1190 taught by Professor Ryandaileda during the Fall '10 term at Trinity University.
 Fall '10
 RyanDaileda

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