How does Luke show his belief that the 'kingdom of God' has arrived in the ministry of Jesus with quotation in his gospel?
The Gospel of Luke establishes that Jesus Christ is the Messiah, he makes it clear that Jesus is the Son of God and has power over all things. Luke's Gospel provides us with an explanation of the Savior's stated mission, to bring the Kingdom of God to all people. Luke's Gospel makes connections between the Chosen People in the Old Testament and the fact that Jesus has come to save the Gentiles as well.
"I must preach the good news of the kingdom of God to the other cities also; for I was sent for this purpose" (Luke 4:43).
"Jesus pointed to His exorcisms and healings as signs of the presence of the kingdom: "If it is by the finger of God that I am expelling evil spirits, then the Kingdom of God has arrived!" (Luke 11:20)(8) And to those who were asking for apocalyptic signs of the kingdom in the sky, Jesus responded, "The kingdom of God is not coming with signs to be observed; nor will they say, 'Lo, here it is!' or 'There!' for behold, the kingdom of God is in the midst of you" (Luke 17:20).