Determine if the series ∑^x_(n=1)(2/(n(n+2)) converges or diverges. If it converges, find it's sum, and if it diverges explain why.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
icon
Related questions
Question

Determine if the series ∑^x_(n=1)(2/(n(n+2)) converges or diverges. If it converges, find it's sum, and if it diverges explain why.

Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage