But the principles and typologies of the limited atonement are all through out the OT.
As an example
God made a covenant with the twelve tribes of Israel (Gods elect nation) at the foot of Mount Sinai. Animal sacrifices were offered,as God had prescribed Then "Moses took the blood, and sprinkled it on the people, and said, Behold the blood of the covenant, which the Lord hath made with you.
Hebrews 5 through 10 is a New Testament commentary on Leviticus, emphasizing the priesthood of Christ and his atoning death. there is nothing there to indicate the sacrifice of the High Priest was an unlimited atonment .
The sacrificial system of Leviticus foreshadows tha sacrifice of Calvery
"On the Day of Atonement the priest made a special sacrifice. At this annual event, the High Priest would make a sacrifice for the nation of Israel as a whole. He would take two goat kids, one of which would become a burnt offering.
The second kid was a sin offering,( "scapegoat." )The High Priest would place his hands on the goat's head and confess over it the sins of the nation of Israel . Israel's sin was symbolically transferred to the goat. Then the goat was released in the wilderness, to die in the wild .
Both these goats were types of Christ. The first died for Israel's sins. The second, the scapegoat, symbolized the carrying away of their sin, where it would be lost and forgotten. Like the first, Christ died for our sins and like the second He carried away our sins "as far as the east is from the west" , But when that High Priest placed his hands on those goats he knew who's sin he was transfering. It was specific to the nation of Israel
All of this was peculiar to the agreement between God and Israel. It was not a general atonment by the Lamb. It was a specific atonment for a limited preselected people.
This type of Christ demonstrated a limited atonement-
True, but on Jesus was laid the sins of the whole world. So if you use the scapegoat analogy, then Jesus substitutionary atonement reached every sin of every man. The scapegoat was a limited atonement and the lamb was an unlimited atonement.
Joh 1:29 The next day John seeth Jesus coming unto him, and saith, Behold the Lamb of God, which taketh away the sin of the world.