# hw1 - Additional exercises 1. Find a simple expression for...

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CSCE 750, Fall 2011, Assignment 1 August 19, 2011 Let x R be any real number. Recall that b x c (the ﬂoor of x ) is the greatest integer not exceeding x and that d x e (the ceiling of x ) is the least integer not less than x . Thus b x c and d x e are the only integers satisfying x - 1 < b x c ≤ x ≤ d x e < x + 1 . Textbook exercises Page 1149 Exercises A.1-1, A.1-3, A.1-5, A.1-6, A.1-7, A.1-8 Page 1156 Exercises A.2-1, A.2-2, A.2-3, A.2-4, A.2-5 Pages 1156–1157 Problem A-1(a,b,c)
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Unformatted text preview: Additional exercises 1. Find a simple expression for n i =2 2 3 i . 2. Show by splitting the sum that X n =1 1 n 1 . 001 &lt; . (You could use an integral approximation, but Id rather you split the sum instead.) 3. Show by splitting the sum that X n =2 1 n lg n = . (You could use an integral approximation, but Id rather you split the sum instead.) 1...
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## This note was uploaded on 12/13/2011 for the course CSCE 750 taught by Professor Fenner during the Fall '11 term at South Carolina.

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