I am working on a few problems at home to get the hang of the comparison test but I'm having trouble finding what to compare them to. I understand the theorem and I understand what is being asked, I just draw a blank when I face a new problem. Any tips, suggestions, or shortcuts? These are the problems I'm working on:
For this one I thought comparing it to would show it converges since it is greater than and it converges. Is that a logical jump or is there a better answer?
On the last two I drew a complete blank. I've been thinking what to compare them to but all of the ones I think of are less than the problem. It's so infuriating!
Thank you so much for your help.