My H would say he was sorry anytime I'd mentioned something that hurt me, but he never seemed to stop doing whatever it was, so sorry didn't really mean much to me. It was as if he said it because he thought he was supposed to.
I think that asking for forgiveness implies that you understand that what you did was wrong and you're taking the steps to rectify that.
Just don't expect a response from her. Do it because it will make you feel better and allow you to move on and grow.
And while you're reading, you may want to check out the 5 Languages of Apology, from Dr. Chapman, the same person who wrote the 5LL. I determined that for me, hearing I'm sorry did nothing unless the person accepted responsibility for their actions.
I'm not sure if that's why I never believed H's apologies or if his apologies are the reason I'm that way, but it's a pretty interesting book.
M36 XH34 M-5 T7 4/11 H confused 5/11 ILYB 6/11 OW discovered 7/11 I move out, OW over 5/12-OW2,done->new EA, but H wont file 9/12 H "best bf ever" to EA/OW3 3/13 H/OW break up H files 4/13 D 6/18/13