Math H162 Brown Wi05

Homework 3,  due  Wednesday, January 21,  2005

 

Be sure to try these all right away, so that if some are sticky you can let your mind work on them offstage during the weekend.  They are relevant for Midterm 1.

 

Solutions will be posted on the website in the afternoon on Wednesday, January 19

 

Textbook: p. 444-445:  #2acghi, 4, 10ac

 

Textbook: p.449-450, #2abce, 4, 6b, 7d.

 

Problem I.  Find the sum of the series from n = 1 to infinity of the terms

 

1/[(4n - 1)(4n + 1)]

 

(Sorry, haven't yet figured out how to do a cap Greek sigma on both Word and the Web.)

 

Textbook: p.454,  #2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 22

 

Textbook: p. 460, #1, 2, 3, 4, 5, 7, 8

 

Problem J.  Determine the behavior of the series of positive terms in which the  nth  term is

 

(n!)(n!)

  (2n)!