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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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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) )
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