What are the promises of the new covenant?

The new covenant introduces several significant promises to believers, as outlined in Hebrews 8:10-12. These include the promise that God will write His laws in their minds and hearts, signifying an intimate and transformative relationship with Him. Moreover, it assures forgiveness for their unrighteousness, where God declares that He will remember their sins no more. Additionally, the new covenant secures eternal life for believers through Jesus Christ, who mediates between God and man, thus guaranteeing their redemption.