Consider the following three statements about sequences:
\indent{}
\indent{\nn(1) Every monotone sequence  has a bounded subsequence.}
\indent{\nn(2) Every convergent sequence is bounded.}
\indent{\nn(3) Every bounded sequence has a Cauchy subsequence.}
Which of these statements are true?
\correct  \nn(2) and \nn(3)
\wrong \nn(1) and \nn(3)
\wrong \nn(1) and \nn(2)
\wrong only \nn(1)
\wrong only \nn(3)
