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->∞ ?
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!