The Olive Branch Petition was their last attempt to keep peace with Britain. They ticked the king off, and now after the battle of Lexington and Concord, the king is getting scary and they want his forgiveness. The OBT was sent to tell the king that the colonists would be loyal again.
Answer: The French Revolution inspired many revolutions around the world in the same that that the American Revolution had inspired the French--it showed that great powers could be thwarted.