Theorem 1 states that if then the sequence an = (n) converges and Show that the converse

Question:

Theorem 1 states that if then the sequence an = ƒ(n) converges and Show that the converse is false. In other words, find a function ƒ such that a_n = ƒ(n) converges but does not exist. THEOREM 1 Sequence Defined by a Function If lim f(x) exists, then the se- quence an= f(n) converges to the