1. The problem statement, all variables and given/known data For the sequnce an defined recursively, I have to determine the limiting value, provided that it exists. a1=2 and a(n+1) = 1/(an)^2 for all n 2. Relevant equations 3. The attempt at a solution Ok, so I 've done problems like this but the a(n+1) was biggger than an and so the sequence was increasing and I used mathematical induction and boundness to show it converged. Then I founf the limit. Now, though I'm having trouble with this sequence becasue it's a decreasing sequence and I know it diverges. How do I go about proving that? What method do I use? At what point is it realized that it diverges? I'm just really lost :/ Thank you!