I am given a being the limes of a sequence an and s being a real number
(a) let all elements of the seqence be >= 0, the it follows that a >= 0 as well.
(b) if an >= s for all n, then it follows that a >= s.
(c) if an <= s for all n, then it follows that a <= s.
How can I arrive at (b) and (c) coming from a? I first thought about epsilon criteria, but that didn't get me anywhere. Greatly appreciating your help...