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