1. The problem statement, all variables and given/known data Okay from what I have learnt to prove that a series converges via the alternating test, you must prove the following conditions 2. Relevant equations 1) an > 0 2) lim an (n--> infinity) = 0 and 3) a(n+1) < an 3. The attempt at a solution However recently I've been encountering questions in my textbook where the first condition isn't filled, but the others two are and the answer is that it is converging Doing further research online, I've found that most people simply disregard the first condition as well, i.e. ww.youtube.com/watch?v=8qhVGeCkgGg So Would anyone be able to clarify why the first condition is seemingly irrelevant?