1. For some ε > 0 there exists an index N such that
if n > N then absolute value of an- a < ε
2.For each ε > 0 and each index N if n > N then absolutue value an-a <ε
3.There exists an index N such that for all ε > 0 if n > N then absolute value an-a < ε
4. For each ε > 0 and each index N if n > n then absolute value an-a<ε
Match from 1-4
a) The sequence {an} is bounded
b) The sequence {an} is a constant
c) All except finitely many terms of the sequence {an} are equal to constant a
d) Such a sequence does not exist
e) The assertion holds for every sequence