Sure, a subset may struggle. That's beside the point. I'm most interested in giving people who, as I mentioned, have a basic fluency with functions of the rea

Sure, a subset may struggle. That's beside the point. I'm most interested in giving people who, as I mentioned, have a basic fluency with functions of the real numbers the answer to why you drop constant multiples and everything but the most significant term. If I wanted to make sure everybody understood (which isn't even theoretically possible), I'd have to include the better part of a semester-long course in my explanation, and that defeats the purpose of having everything in a digestible format.