1. The problem statement, all variables and given/known data I would like to understand how the limit was changed in the ratio test from step 1 to step 2 in the image that I've posted. I thought that the denominator would look like (2/n+2)(2/n+1) in step 2 since it looks like we are just turning the n's in to reciprocals. Any help here would be greatly appreciated. Thank you very much as always. 2. Relevant equations Power series, limits, reciprocals. 3. The attempt at a solution I've tried to figure out why the argument in the second set of parentheses in the denominator becomes (2+1/n) instead of (2/n+1) once the limit is changed from infinity to zero in between steps 1 and 2. Just with brute force algebra I couldn't figure out how they went from step 1 to 2.