Jesus did not go with the centurion to heal his servant because he

According to the account in the Gospel of Matthew, the reason Jesus did not go with the centurion to heal his servant was that the centurion exhibited great faith. The centurion told Jesus that he did not need to come to his home to heal his servant but could just speak the word and the servant would be healed. Jesus was amazed at the centurion's faith and declared that he had not found such great faith in all of Israel. Jesus then said to the centurion, "Go! Let it be done just as you believed it would." and the servant was healed at that very moment. Therefore, the correct option is "exhibited great faith".