Math H162 Ð Brown Ð 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)!