Part1) Consider the following series. (View Picture Below) Test the series for convergence or divergence using the Alternating Series Test. Identify bn. Evaluate the following limit. (View Picture Below) Part 2) a) (For Check box #1 the answers you can choose from are: =, and not equal) (For Check box #2 the answers you can choose from are: less than or equal to, greater than or equal to, and n/a) (For Check box #3 the answers you can choose from are: the series converges, the series diverges, the test is inconclusive) b) Test the series (View Picture below) for convergence or divergence using an appropriate Comparison Test. The series converges by the Limit Comparison Test with a convergent p-series. The series diverges by the Direct Comparison Test. Each term is greater than that of a comparable harmonic series. The series diverges by the Limit Comparison Test with a divergent geometric series. The series converges by the Direct Comparison Test. Each term is less than that of a divergent geometric series. c) Determine whether the given alternating series is absolutely convergent, conditionally convergent, or divergent.
Part1) Consider the following series. (View Picture Below) Test the series for convergence or divergence using the Alternating Series Test. Identify bn. Evaluate the following limit. (View Picture Below) Part 2) a) (For Check box #1 the answers you can choose from are: =, and not equal) (For Check box #2 the answers you can choose from are: less than or equal to, greater than or equal to, and n/a) (For Check box #3 the answers you can choose from are: the series converges, the series diverges, the test is inconclusive) b) Test the series (View Picture below) for convergence or divergence using an appropriate Comparison Test. The series converges by the Limit Comparison Test with a convergent p-series. The series diverges by the Direct Comparison Test. Each term is greater than that of a comparable harmonic series. The series diverges by the Limit Comparison Test with a divergent geometric series. The series converges by the Direct Comparison Test. Each term is less than that of a divergent geometric series. c) Determine whether the given alternating series is absolutely convergent, conditionally convergent, or divergent.
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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Part1) Consider the following series. (View Picture Below)
Test the series for convergence or divergence using the Alternating Series Test.
Identify bn.
Evaluate the following limit. (View Picture Below)
Part 2)
a)
(For Check box #1 the answers you can choose from are: =, and not equal)
(For Check box #2 the answers you can choose from are: less than or equal to, greater than or equal to, and n/a)
(For Check box #3 the answers you can choose from are: the series converges, the series diverges, the test is inconclusive)
b)
Test the series (View Picture below) for convergence or divergence using an appropriate Comparison Test.
The series converges by the Limit Comparison Test with a convergent p-series.
The series diverges by the Direct Comparison Test. Each term is greater than that of a comparable harmonic series.
The series diverges by the Limit Comparison Test with a divergent geometric series.
The series converges by the Direct Comparison Test. Each term is less than that of a divergent geometric series.
c)
Determine whether the given alternating series is absolutely convergent, conditionally convergent, or divergent.
Transcribed Image Text:Since in o and D, for al n,Select
Test the series e, ter convergence or divergence usirg an appropriate Comparison Test.
O The serlen converges by the Umit Compartson Test with a convergent p-series
O he series diverges by the Cirt Conaron est Cach term is greater than that of a comparable harmonic series
The seen diverges bty the Unit Comparteson Test with a divergent geometrie series
The series converge y the Dired Comparteon Tet. Each term i s than that of a divergent geometie series.
Determine whether he ven anating series is absolutely convergent, conditionaly convergent, or divergent.
O abuly convergent
Ocondonaly coverent
O dvergent
Transcribed Image Text:Consider the following series.
(-1)"
In(9n)
Test the series for convergence or divergence using the Alternating Series Test.
Identify b
Evaluate the following limit.
im b
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