Does it converge: ∑(sqrt(n+1) - sqrt(n))/sqrt(n2+n) if so what is the sum (show steps please)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 39E
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Does it converge: ∑(sqrt(n+1) - sqrt(n))/sqrt(n2+n) if so what is the sum (show steps please)

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