Love that does not run dry
The Bible does not use the exact phrase “unlimited love” very often, but it repeatedly shows a love beyond our ability to measure. David praises God as compassionate, patient, and rich in mercy. He describes God’s mercy as towering above those who fear him, and says God removes the sins of those who turn to him as far as east is from west (Psalm 103:8-12).
That does not mean God has a limited supply of kindness that might run out after one more failure. Jeremiah wrote in a time of national ruin, yet he could still say that the Lord’s mercies were not consumed and were new each morning (Lamentations 3:22-23). God’s love is steady because it flows from who he is, not from our ability to deserve it.
It is of the Lord's mercies that we are not consumed, because his compassions fail not. They are new every morning: great is thy faithfulness.
Shown in Jesus
God’s love is not only a warm idea. It took action. John points to God giving his only begotten Son so that those who believe in him may have eternal life rather than perish (John 3:16). Jesus is the clearest picture of what God’s love costs and what it offers.
Paul makes the timing especially striking. Christ died for us while we were still sinners, not after we had made ourselves worthy (Romans 5:8). So no one needs to tidy up their whole life before coming to God. You can come honestly, with your need, your questions, and even your mess.
But God commendeth his love toward us, in that, while we were yet sinners, Christ died for us.
Wide enough for anyone
God’s love reaches far beyond one nation, personality type, or past. John says that God sent his Son into the world so that people might live through him, and calls this God’s love taking the first step toward us (1 John 4:9-10). The invitation is genuinely wide.
This is why Christians can speak of hope for the person who feels far away. Jesus received a Samaritan woman with a complicated story, spoke truthfully with her, and offered living water (John 4:13-14). His welcome was personal, not careless. He saw her clearly and did not turn away.
Unlimited does not mean indifferent
God’s love is not permission to stay trapped in what destroys us. The same Jesus who offers forgiveness also calls people to follow him. Love that is real tells the truth, heals, corrects, and leads us towards life. God’s holiness and mercy are not rivals.
For those who trust Christ, Paul says no created thing can separate them from God’s love in him, including suffering, fear, or death itself (Romans 8:38-39). That is a strong promise for hard days. Keep reading the Gospels and the Psalms for yourself, and bring this question to God plainly. His love is not fragile.