I don't think it's possible for me. There is a bottom line for everything and beyond that, I wouldn't be able to let go of things. What about you? Or would this depend on the other person?
If I felt the apology was truly sincere then yes, I would try my best to forgive them. I feel holding a grudge is potentially unhealthy to both mind and body,
Depends on what it's all about and is it that bad or what for me. I think for me I just go forwards and forget and if it's that bad then that person might not even see me again. Unless it's your best friend and family.
It would take me awhile but yes, I would forgive. That however is for ME not for THEM especially if the situation was extreme. Now Forget is another matter. I would not trust that person again.
I am capable of forgiving depending on how close I am to that person and what that person did to wrong me. I never forget. I may or may not trust that person again. Sometimes a wrong can be unintentionally done. It doesn't mean I should ostracize that person over something so petty.