Limited or Universal Atonement? (1)(Hebrews 9:23-28; 10:11-18 COD Head 2 Article 3, 8)

The Reformed position on Christ’s death on the cross is probably not the majority view in Christianity.  If this position is held by a minority then what basis would people have to hold it? How do we see that really any conservative Christian believes in a limited atonement?  What is more, how can the Reformed definition of a limited atonement actually teach a very gracious God?