Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
Related questions
Question
Transcribed Image Text:9)
12)
For each series, find the sum.
5) (->K-1
15)
f
k=1
(K+1)(K+2)
k=1
k=1
Use the integral test to decide if the following series converge.
1
7)
{
(k+4)
k=1
Test each of the following for convergence and name all tests you use.
st
k
sin (7)
k+5
k=0
1
18)
n=1,2,3,... 4)
tan
-1
k=1
k=1
Find the convergence set for each:
(-1) kak
k(k+1)
1+x
X
6)
10)
13)
8)
Determine if each of the following is absolutely
conditionally convergent, or divergent. Name all tests you use.
convergent,
(-1) K+1
16)
f
k=1
B
{
k=1
(k
k=0
e
k+1
3
k +1
1, an+1
(-1) k+1k
10k+1
(x+2)k
k
11)
Find the first four nonzero terms of the Maclaurin series for each of
the following:
17) ecosx
19) √1+x² 20) sinx
k=1
14)
2n ,n=1,2,3,...
2
k=1
cos km
k
21)
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