This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1 (4 / 5). What is the probability that heads is rst seen after an odd number of ips? THERE ARE MORE PROBLEMS ON THE BACK SIDE. Typeset by A M ST E X 1 . 6.[20 points total] (i)[5 points] Let a 1 , a 2 , a 3 . . . be a sequence of real numbers, and suppose L is a real number. What is the denition for lim n a n = L ? (ii) For each of the following, write TRUE or FALSE. No justication need be provided. [3 points each] (a) R 1 ( 1 / x ) dx = . (b) If lim n a n = 0, then the series n =1 a n converges. (c) A sequence of real numbers a n is bounded if a n < 100 for every n . (d) If a sequence is bounded and increasing, then it converges to a real number. (e) lim n [(1 + 1 / 2 + 1 / 3 + + 1 /n )ln( n )] = . 2...
View
Full
Document
This note was uploaded on 04/03/2010 for the course MATH 20 taught by Professor Staff during the Fall '08 term at Maryland.
 Fall '08
 staff
 Math

Click to edit the document details