Following discharge home, infants in Arm B will be contacted via telephone within 2 days to answer any questions or address any concerns pertaining to apneic events, home pulse oximeter use, or caffeine therapy. Follow up in the pulmonary clinic will be arranged at 42-43 weeks gestational age at which time caregivers will be taught to determine the baseline frequency of monitor alarms on caffeine. At 43 weeks corrected gestational age, caregivers will be instructed to discontinue caffeine therapy and advised to contact the pulmonary clinic should alarm frequency increase. An outpatient recorded oximetry study will be arranged at least 1 week after discontinuation of caffeine therapy. Home pulse oximetry monitoring will be discontinued if no significant events, as previously defined, are recorded.