How in the world can I love my enemy?

It is a man's peculiar duty to love even those who wrong him. –Antoninus

 Ye have heard that it hath been said, Thou shalt love thy neighbour, and hate thine enemy. But I say unto you, Love your enemies, bless them that curse you, do good to them that hate you, and pray for them which despitefully use you, and persecute you; That ye may be the children of your Father which is in heaven: for he maketh his sun to rise on the evil and on the good, and sendeth rain on the just and on the unjust. Matthew 5:43-45 

This is obviously one of the hardest things to do as a Christian. Loving someone who is undoubtedly an enemy by their words and actions is not an easy task but yet the Lord told us to do just that. How could He expect us to love our enemy? Because He first loved us—His enemy! (James 4:4)