MATH 1680 Study Guide - Midterm Guide: Intermediate Value Theorem
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Test 1: (36 points) evaluate each of the limits indicated below. x3 8 x 2 (a) lim x 2 x3 5x2 + 7x 3 x3 3x + 2 (b) lim x 1 problem. Hint: think about why this is a zero over zero. 6x 6 x 6 (d) lim x 6 (e) lim x (2 x)(10 + 6x) (3 5x)(8 + 8x) That is, use interval notation: (12 points) let h(x) = (x + 1)(x2 9) (x 3)(3x + 5). 4 (a) lim x 1 f (x) = (b) lim x 1+ F (x) = (d) f ( 1) = (e) x 1 f (x) = lim (f) lim x 1+ 4 (a) express the domain of f in interval notation. (b) lim x 2 f (x) (c) lim x 2+ f (x) (d) lim x 2 f (x) (e) x 0 f (x) lim (f) lim x 0 f (x)
