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Ratio and Root Tests: Convergence of Series, Exercises of Calculus for Engineers

University of Notre Dame du Lac (ND)Calculus for Engineers

Practice problems for determining the convergence or divergence of various series using the ratio test and root test. Students will apply these tests to series with different terms and constants.

What you will learn

  • What are the necessary conditions for each test to determine convergence?
  • Which test (Ratio or Root) should be used for each series in the document?
  • What are the necessary conditions for each test to determine divergence?

Typology: Exercises

2021/2022

Uploaded on 10/04/2022

hananiah-tangpuz
hananiah-tangpuz 🇺🇸

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EG 10565 Name
Practice Set
Ratio and Root Tests
Determine whether the following series are convergent or divergent.
1.
1
2
3n
n
n
2.
1
15
!
n
nn
3.
2
2
1
41
10 1
n
n
n
n



4.
3
1
(1)3
7
nn
n
nn
5.
1
( 10)
(2 )!
n
nn
6.
2
1
41
525
n
n
n
n



pf2

Partial preview of the text

Download Ratio and Root Tests: Convergence of Series and more Exercises Calculus for Engineers in PDF only on Docsity!

EG 10565 Name Practice Set Ratio and Root Tests

Determine whether the following series are convergent or divergent.

1

n^3 n

n

 2.^

1

n n n

 

2 1 2

n^10

n n n

 

 4.^3

1

n n n nn

 

1

n n n

 

 6.^2

1

n 5 25

n n n

 

1

( 2) n n nn

 

100 1

n n

n n

1

n n n n

2 1 3

n n n

n n

 