Do not open this exam yet (1) fill in your name, id and section number. (2) this exam is closed-book and closed-notes; no calculators, no phones. (3) please write legibly to receive credit. Out of fairness to others, please stop working and close the exam as soon as the time is called. A signi cant number of points will be taken o your exam score if you continue working after the time is called. You will be given a two-minute warning before the end. 1: (15 points) compute the following limits: a) b) c) lim x 2 ln(x2 + 2x) lim x 1 sin(x) sin(1) x2. 3: (15 points) compute the derivatives of the following functions: a) b) c) f (x) = sin(x3. X) f (x) = x ln(x 1) f (x) = sin x x + 1. 4 (15 points) find the equation of the tangent line to the graph of the.
