The same is true in the reverse...your children trust you...they love you...they have faith that you are going to do the right thing. When you disappoint them, that trust line has been crossed and building that back up can be a long process, that could in some cases take years. Does this disappointment mean they don't love you? No...quite the opposite...they really do love you and desire a relationship with you...it is just difficult for them.
Another thing I think about...goes along with the first one and that is the "circle of trust". There was a movie out a few years back where a young man was being tested by his future father in law. At every turn he was failing miserably in staying in that circle...no matter how hard he tried, the more difficult it became to earn that trust that he wanted so desperately. The problem with this is that he was having to earn it...he was losing before he ever had a chance. When someone is put in that position, most of the time they are set up for failure.