It's a mitzvah (a divine command or duty) to forgive.
Torah forbids Jews from taking revenge/bearing grudges.
‘Do not hate your brother in your heart.’ Leviticus 19:17
Humans = responsible for their actions. If someone does wrong, they have to recognise, admit, then the wronged is religiously bound to forgive.
Without an apology, forgiveness is worthy and virtuous.
Teshuva is a way of atoning
Yom Kippur (Day of Atonement) = Jews strive to perform teshuva.
YOM KIPPUR
Jews fast, attend synagogue, abstain from work, sex, bathing and the wearing of cosmetics for 25 hours. Much time spent in prayer and reflection to seek forgiveness.
YOM KIPPUR
God makes final decision on the next years nature for each person.
The Book of Life is closed and sealed, and those who properly repented their sins will be granted a happy new year.
Talmud teaches holding to resentment is painful, and one who fails to forgive hurts themselves: ‘Who takes vengeance or bears a grudge acts like one who, having cut one hand while handling a knife, avenges himself by stabbing the other hand.’ Talmud, Nedarim 9:4
Human's should follow God's example (God's love means he will always forgive)