Should you trust someone who has a history of lying?

My husband has been caught lying and in questionable relationship with other women. He thinks that he can force me to trust him but does not understand that I can't trust him on his word or actions. He always tries to question me about being involve with other men but it is so not true. Lie all men, if your man has caught you cheating they won;t give you a second chance they just leave. Women are not that way we try to work it out and therefore we stay. My husband was caught 3 + times and he can't even say I'm sorry. If you want to know if I love him, not any more but we have children and I don't want them to be in a single parent home. I still like him but for me loving someone means I have to trust you. comments welcome. And yes, I ;make more money than he does so don't think he's taking care of me.