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,

Susannah