To the nth term test:
When I first met you, I was excited by your simplicity and the opportunity to repeatedly use L’Hopital. At first, I turned to you at every opportunity, but I have to go now. I am anxious to determine whether or not this series converges or diverges. Unfortunately, the limit is zero and so you are absolutely useless. I am obligated to leave you for a different test. Don’t even think about trying to get back together.
No longer yours,