Alternating Series Test (1f applicable) to deter the convergence of the series. therwise, refer to another test. (a) (-1)" In(n) (b) (-1)"-1 3n-1 (c) com(27) Σ (-1)"(n² +1) 5n2 +1 (e) (-1)" In(n) (f) (-1)"-!,² 2n (g) (-1)" sin((27n+1)m/2) (h) E(-1)" sin(n-1/2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Question

The following series are divergent 

 
 

c and d

 

c and h

 

d and g

 

d and h

Use the Alternating Series Test (if applicable) to determine the convergence of the series. Otherwise,
refer to another test.
(a) )*
In(n)
(-1)"-!
3n-1
(-1)" (n²+1)
5n2 +1
(c)
cos(n7)
(d)
(e)
(-1)" In(71)
(f) E
(-1)"-1,2
2n
n=3
(g)
Σ
(-1)" sin((2n+1)#/2)
(h) E(-1)" sin(n-1/2)
n=1
n=2
Transcribed Image Text:Use the Alternating Series Test (if applicable) to determine the convergence of the series. Otherwise, refer to another test. (a) )* In(n) (-1)"-! 3n-1 (-1)" (n²+1) 5n2 +1 (c) cos(n7) (d) (e) (-1)" In(71) (f) E (-1)"-1,2 2n n=3 (g) Σ (-1)" sin((2n+1)#/2) (h) E(-1)" sin(n-1/2) n=1 n=2
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