ECON 11A Study Guide - Midterm Guide: Marginal Revenue, Root Mean Square
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Limits, continuity and di erentiation: without consulting your notes or book, give the mathematical de nitions for the two bold-faced concepts below. , and use one-sided limits to describe how the function behaves near theses points. x2 + 1 x2 4x + 3: what can you say about lim x 0 x. |x|: give an example of a function that is continuous at the point x = 0, but is not di erentiable at x = 0. Justify your answer: for each of the functions f (x) given below, simplify the expression. Express your answer in terms of x and h. (a) f (x) = x2 (b) f (x) = x3 (c) f (x) = (d) f (x) = x. 9. x at the point x = 8. 102. (c) use the same ideas to estimate: a rm"s marginal revenue function is given by.