How do we know the doctrine of limited atonement is true?

The doctrine of limited atonement asserts that Christ died specifically for the elect rather than for all humanity without exception. This belief is rooted in the understanding that Jesus' sacrifice accomplished salvation for those chosen to be saved, as stated in Hebrews 10:14: 'For by one offering, he hath perfected forever them that are sanctified.' If Christ's blood could potentially be ineffective for some, it undermines the efficacy and sufficiency of His sacrifice, thereby questioning the nature of God's justice and sovereignty. Hence, limited atonement is vital to maintaining the integrity of God's redemptive plan and the power of the atonement.