ECON 11A Midterm: ECON11A Exam 2 2015 Winter Solutions
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Solutions: compute the following limits. limx 3 x3 8 limx 3 x 2, lim x 3 x3 8 x 2 x3 8 x 2. = lim x 2 (x + h)2 x2. = 19. (x 2)(x2 + 2x + 4) (x 2) = lim x 2 x2 + 2xh + h2 x2 h. 2x + h : lim x 2 c. lim h 0. 20000 3y + 4y3 0. 01y4 = lim y t 2 t 2 t 2 t 2. = lim t 2+ t 2 lim t 2+ = 500. (cid:26) x : x 0. = 1. f. lim x 0 g. lim x 0+ x. As a real-valued function. lim x a f (x) = f (a). 1: the function f (x) is di erentiable at the point x = a if and only if f (a + x) f (a)
