'Broken off' in the Bible

Some, however, of the branches were broken off, and you, who were only a wild olive, were grafted in among them, and came to share with them the root which is the source of the richness of the cultivated olive.

But branches, you will say, were broken off, so that I might be grafted in.

True; it was because of their want of faith that they were broken off, and it is because of your faith that you are standing. Do not think too highly of yourself, but beware.