"'If it pleases the king,' replied Esther, 'Let the king, together with Haman, come today to a banquet I have prepared for him.'" NIV translation
Esther hesitated in that she did not boldly ask for the king to save her people. This is a picture of what we sometimes do as Christians. God has promised us that He will do for us whatever we ask as long as we ask in faith but we hesitate just like Esther did here.
"'Bring Haman at once,' the king said, 'so that we may do what Esther asks.' So the king and Haman went to the banquet Esther had prepared. As they were drinking wine, the king again asked Esther, 'Now what is your petition? It will be given you. And what is your request? Even up to half the kingdom, it will be granted.'" NIV translation
The king immediately sent for Haman and they attended the banquet that she had prepared. Once again, he knew that she had not told him her problem and so he asked her about it.
"Esther replied, 'My petition and my request is this: If the king regards me with favor and if it pleases the king to grant my petition and fulfill my request, let the king and Haman come tomorrow to the banquet I will prepare for them. Then I will answer the king's question.'" NIV translation
Esther still hesitates even though the king has repeatedly told her that he would give her up to half of the kingdom. Many times we do the same type of thing with God as He has promised us many things and instead of confidently asking Him for what we need we hesitate and try to do it on our own.
"Haman went out that day happy and in high spirits. But when he saw Mordecai at the king's gate and observed that he neither rose nor showed fear in his presence, he was filled with rage against Mordecai." NIV translation
Haman left the banquet on top of the world but when he saw Mordecai his anger came out again. In spite of the death sentence hanging over him, Mordecai did not cower in fear or bend to Haman's will but still he trusted in God and His deliverance.