1. The problem statement, all variables and given/known data Let an be an infinite sequence. 1) Is it true that an2 ->0 as n->∞ => an ->0 as n->∞ ? 2) Is it also true that an ->0 as n->∞ => an2 ->0 as n->∞ ? 2. Relevant equations N/A 3. The attempt at a solution Both SEEM to be true to me, but I am not sure why. What is the simplest way to explain these? I want to understand intuitively. Any help is appreciated!