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4. The series 10 5n² 3n²+1 (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct 5. The series (n + 1)² n! n=1 (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct 6. The series (1) *** n ln(n) n=8 *** (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct

4. The series 10 5n² 3n²+1 (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct 5. The series (n + 1)² n! n=1 (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct 6. The series (1) *** n ln(n) n=8 *** (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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4. The series 10 5. The series (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct n=1 5n² 3n²+1 (n + 1)² n! n=8 (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct 6. The series (1) n ln(n) *** (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct
Transcribed Image Text:4. The series 10 5. The series (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct n=1 5n² 3n²+1 (n + 1)² n! n=8 (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct 6. The series (1) n ln(n) *** (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct
1. If the series n=1 (a) Must be Convergent (b) Must be Divergent (c) Can be either Convergent or Divergent, depending on an 3. The series an is convergent and an> 0 for all n, then we also know that 2. If the series an is convergent and an > 0 for all n, then we also know that n=1 (a) Must be Convergent (b) Must be Divergent (c) Can be either Convergent or Divergent, depending on an n=2 n² +1 3n3 — √n ... 11 (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct an 71 n=1 nan
Transcribed Image Text:1. If the series n=1 (a) Must be Convergent (b) Must be Divergent (c) Can be either Convergent or Divergent, depending on an 3. The series an is convergent and an> 0 for all n, then we also know that 2. If the series an is convergent and an > 0 for all n, then we also know that n=1 (a) Must be Convergent (b) Must be Divergent (c) Can be either Convergent or Divergent, depending on an n=2 n² +1 3n3 — √n ... 11 (a) is Absolutely Convergent (b) is Conditionally Convergent, but not Absolutely Convegent (c) is Divergent (d) None of these are correct an 71 n=1 nan
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