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Series: Convergent or Divergent?

  1. Apr 13, 2014 #1
    1. The problem statement, all variables and given/known data
    Is the following convergent or divergent?

    ln(2(n+1))-ln(2n)


    2. Relevant equations

    comparison test

    3. The attempt at a solution

    I put it into the form ln(1+(1/n)), but I don't understand what to use as Bn for the comparison test. (which is what wolfram alpha uses)
     
  2. jcsd
  3. Apr 13, 2014 #2

    Dick

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    Science Advisor
    Homework Helper

    That's a good start. I think you want to look at how ln(1+x) behaves when x is very small. Do you think it converges or diverges?
     
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