'Branch' in the Bible

Every branch in Me that does not bear fruit, He takes away; and every branch that continues to bear fruit, He [repeatedly] prunes, so that it will bear more fruit [even richer and finer fruit].

Remain in Me, and I [will remain] in you. Just as no branch can bear fruit by itself without remaining in the vine, neither can you [bear fruit, producing evidence of your faith] unless you remain in Me.

If anyone does not remain in Me, he is thrown out like a [broken off] branch, and withers and dies; and they gather such branches and throw them into the fire, and they are burned.