5) each k=1 (- series, find the sum. k - 1 6) k=1 +1) (k+2)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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)
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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