Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Prove that these are convergent but not absolutely convergent using calculus but with proof                                                                                                                        a) ∑ from n = 2 to infinity (-1)^(n+1) / (sqrt(n) * ln(n)) and b) ∑ from n =1 to infinity (-1)^(n+1) / ( n^(1/3) * (lnn)^(2) )

Prove that these are convergent but not absolutely convergent using calculus but with proof                                                                                                                        a) ∑ from n = 2 to infinity (-1)^(n+1) / (sqrt(n) * ln(n)) and b) ∑ from n =1 to infinity (-1)^(n+1) / ( n^(1/3) * (lnn)^(2) )

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
See similar textbooks
icon
Related questions
Question

5. Prove that these are convergent but not absolutely convergent using calculus but with proof                                                                                                                      
 a) ∑ from n = 2 to infinity (-1)^(n+1) / (sqrt(n) * ln(n)) and b) ∑ from n =1 to infinity (-1)^(n+1) / ( n^(1/3) * (lnn)^(2) )

Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer