(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine if the series

inf

Sigma n/(2n+1)

n=1

converges

2. Relevant equations

3. The attempt at a solution

When i did this I originally I thought I would just apply the divergence test

lim n/(2n+1) =/= 0

n->inf

there fore I thought by the divergence test the series diverges but I guess sense the limit is defined to be 1/2 it converges...

I'm confused... I think I may be over complicating this but by the divergence test shouldn't this series diverge sense the limit does not equal zero?

Thanks for any help

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# Calculus II - Series and Convergence

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