Test the series for convergence or divergence. 4 6. 8 10 .... 7 8 10 11

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Test the series for convergence or divergence.
4
6
8
10
+...
7
8
10
11
Identify b,. (Assume the series starts at n = 1.)
(-1)금0
2
1+6
Evaluate the following limit.
lim b,
Since lim b, # V
O and b
b, for all n, the series diverges
'n
'n + 1
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Test the series for convergence or divergence using the Alternating Series Test.
(-1)" – 1
8 + 9n
n = 1
Identify b,
(-1)"-1
8+9n
Evaluate the following limit.
lim bn
O and bn +1
b, for all n, the series converges
Since lim
n
Transcribed Image Text:Test the series for convergence or divergence. 4 6 8 10 +... 7 8 10 11 Identify b,. (Assume the series starts at n = 1.) (-1)금0 2 1+6 Evaluate the following limit. lim b, Since lim b, # V O and b b, for all n, the series diverges 'n 'n + 1 Need Help? Watch It Read It Test the series for convergence or divergence using the Alternating Series Test. (-1)" – 1 8 + 9n n = 1 Identify b, (-1)"-1 8+9n Evaluate the following limit. lim bn O and bn +1 b, for all n, the series converges Since lim n
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