The alternating series test can be used to show convergence for which of the following series? +...+an +..., where an = (-1)"+¹1 sin 5 25 1.1-1+ II. sin 1 III. √2+1 B C) + sin 3 9 √2-1+√3+1 where C₁ = sin 2 4 I only - Il only 1 16 + I and II only 25 I and III only - 36 sin 4 16 + √3-1 +√4+1 - √k+1+1 - vk1-1_ if n = 2k √k+1- sin 6 36 if n = 2k-1 + ... + bn +.., where bn = (=1)"+1 sinn n² √4-1+ · + en +... ...

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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Question
S
C
The alternating series test can be used to show convergence for which of the following series?
1
36
1.1-+
II. sin 1-
III.
B
√2+1
1
9
sin 2
4
D
where C₂ =
√2-1
I only
-
Il only
1
16
+
√
F1
sin 3
9
+
I and II only
I and III only
+
Type here to search
1
25
√k+1+1
1
√k+1-1
1
√3+1
sin 4
16
@
+... +
F2
+
sin 5
25
√3-1
+
an
√4+1
#
sin 6
36
+, where an =
if n = 2k-1
if n = 2k
F3
++ bn +, where bn =
√1++G₂+...
LA
= (-1)"+¹1/
C
F4
DII
F5
%
= (=1)"+1 si
n²
O
O
O
F6
A
n
O
F7
Transcribed Image Text:S C The alternating series test can be used to show convergence for which of the following series? 1 36 1.1-+ II. sin 1- III. B √2+1 1 9 sin 2 4 D where C₂ = √2-1 I only - Il only 1 16 + √ F1 sin 3 9 + I and II only I and III only + Type here to search 1 25 √k+1+1 1 √k+1-1 1 √3+1 sin 4 16 @ +... + F2 + sin 5 25 √3-1 + an √4+1 # sin 6 36 +, where an = if n = 2k-1 if n = 2k F3 ++ bn +, where bn = √1++G₂+... LA = (-1)"+¹1/ C F4 DII F5 % = (=1)"+1 si n² O O O F6 A n O F7
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