[1894 Scrivener New Testament - vs 1-11 were not included in later texts]
The Mount of Olives plays a very important role in both the Old and New Testaments. The oil from the olives was used to anoint kings and priests and this mountain is closely associated with King David and his son, the Messiah:
King David fled Jerusalem through the Mount of Olives (2 Samuel 15:30). He and all his companions walked weeping, with their heads covered.
Absalom was David's favorite son. His name means father of peace. But Absalom allowed the devil to turn him against his father and seek to kill him.
I wonder if Jesus thought about King David as He prayed on the mountain where David fled for safety from his own kin who were seeking to kill him. The Jews, Jesus' own people, were seeking to kill him, the son of David. As the Israelites rejected David and sought to kill him, the Jewish leaders were jealous of Jesus, rejected Him as their king and sought to kill Him, in the same way they tried to kill King David.
After Jesus' resurrection, He ascended into heaven from the Mount of Olives. Like his ancestor King David, He was leaving Jerusalem to be a type of king in exile, until the day His people welcome Him back.
Acts 1:9-12And after He had said these things, He was lifted up while they were looking on, and a cloud received Him out of their sight. 10. And as they were gazing intently into the sky while He was going, behold, two men in white clothing stood beside them. 11. They also said, "Men of Galilee, why do you stand looking into the sky? This Jesus, who has been taken up from you into heaven, will come in just the same way as you have watched Him go into heaven." 12. Then they returned to Jerusalem from the mount called Olivet, which is near Jerusalem, a Sabbath day's journey away.
When Jesus returns to earth to rule as king, no longer in exile, His feet will touch down on the Mount of Olives,
Zec. 14:4In that day His feet will stand on the Mount of Olives, which is in front of Jerusalem on the east; and the Mount of Olives will be split in its middle from east to west by a very large valley, so that half of the mountain will move toward the north and the other half toward the south.