MA124 SB1Homework 13, Mon. 8/4Due 11am, Tues. 8/5

This homework will cover the divergence and integral test.

1) BC 8.4 (pg. 567-568)

# 8.4.13, 8.4.17, 8.4.19, 8.4.23, 8.4.29, 8.4.33 (Hint: Re-index the series.), 8.4.39

Extra Credit) BC 8.4 (pg. 568)

# 8.4.60 (If you want, try computing the exact value of Fn by computing the limit ofthe partial sums. Let N = mn and exploit the analagous telescoping property to get anexpression for SN . Note that lim

m→∞Smn = lim

N→∞SN . The answer should involve the so

called Harmonic numbers, Hn =

n∑k=1

1

k.)

1

Pg. 567

2

Pg. 568

3