The miracle is that your children will love you with all your imperfections if you can do the same for them.
Your children are not little mirrors reflecting back the good or bad job you've done.
Often when someone apologizes - like a parent who says to a child, "I'm very sorry I neglected you when you were a kid" - they also ask, "Do you forgive me?," because they want the other person to be over it. However, healing can take a great deal of time. And if we forgive too quickly, we cut the process short.