I answered their questions 'to the best of my knowledge'. [=I gave the best answers I could based on what I knew, but I might have answered differently if I had known something else]
No one arrived late 'to my knowledge'. [=I am not aware that anyone arrived late, but it is possible that someone arrived late and I don't know about it]
They went on vacation, 'safe in the knowledge' that the farm would be well cared for while they were away.
(..) but that doesn't make you what you were. If this man is everything that you say he is, then the city needs me. The city needs Bruce Wayne. Your resources, your knowledge. It doesn't need your body, or your life. That time's past. You're afraid that, if I go back out there, I'll fail. (..)2012 The Dark Knight Rises