Conditional Convergence: n is conditionally convergent if The series Ratio/Root Test: Root: L Ratio: L Σ The series an converges if The series an diverges if: Test inconclusive if For each of the following series, argue convergence or divergence using the indicated test. 1. 5- cos2(n) (Comparison Test) COs n=1 (-1)" n! a(Alternating Series Test) 2. n 2 n! (Ratio Test) 100 n=1 3.

Conditional Convergence: n is conditionally convergent if The series Ratio/Root Test: Root: L Ratio: L Σ The series an converges if The series an diverges if: Test inconclusive if For each of the following series, argue convergence or divergence using the indicated test. 1. 5- cos2(n) (Comparison Test) COs n=1 (-1)" n! a(Alternating Series Test) 2. n 2 n! (Ratio Test) 100 n=1 3.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

For each of the following, fill in the blanks to complete the description of the test.

Conditional Convergence:
n is conditionally convergent if
The series
Ratio/Root Test:
Root: L
Ratio: L
Σ
The series
an converges if
The series an diverges if:
Test inconclusive if
For each of the following series, argue convergence or divergence using the indicated test.
1. 5- cos2(n) (Comparison Test)
COs
n=1
(-1)"
n!
a(Alternating Series Test)
2.
n 2
n!
(Ratio Test)
100
n=1
3.

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