'Broken off' in the Bible

And, if some of the branches were broken off, and you, being a wild olive, were grafted in among them, and became a joint-partaker of the root and of the fatness of the Olive tree;

You will say, then, "The branches were broken off, that I might be grafted in."

Well; by their unbelief they were broken off, but you have been standing by faith. Do not cherish lofty thoughts; but fear.