Question

Convergent sequence definition in quandifier

Answer 1

 is the constant sequence; {c} is the set of single element c.Definition 2.2 (Convergence ofSequences). A sequence (an) is said to converge to a real number a (called the limit of thesequence) if, for every number ϵ > 0, there exists an N ∈ N such that whenever n ∈ N and n ≥ N it follows that