Even if you're not close with your boss, chances are you have a working, first_name_basis relationship. Maintaining that in your official letter is okay. You don't need to keep a Victorian level of formality here__just make sure it's a professional tone.
Spot the Signs. The most obvious sign that you'll receive this reaction is if you haven't had a healthy relationship with your manager in the past. Maybe you continually challenged his ideas, and he took that as a sign of disrespect. Or, maybe she always made unreasonable demands, and you were never able to see eye_to_eye on your to_do list. Or perhaps his moods were completely unpredictable. In any case, if your relationship has been strained, you may receive a less_than_ideal response to your two weeks' notice.