Series: Convergent or Divergent?

[genevievelily]

Homework Statement

Is the following convergent or divergent?

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

Homework Equations

comparison test

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)

 

[Dick]

Homework Statement

Is the following convergent or divergent?

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

Homework Equations

comparison test

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)

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?