MAC-2311 Final: MAC 2311-17 Final Exam
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You may use the back of a page if you need more space for a problem. Page 2 of 8: in each part, nd the limit if it exists. If the limit is not nite, write or (depending on its sign). If the limit otherwise does not exist, write dne and explain why. (a) (2 points) tan(x) lim x . 1 x (c) (5 points) x2ex lim x (d) (10 points) lim x 0 tan(x) x x3. Page 3 of 8: in each part, nd the derivative of the given function. (a) (5 points) f (x) = 1 (b) (5 points) h(x) = cos(2x) cosh(x/2) (c) (9 points) g(x) = arccos( 2 x2) (hint: use arccos (x) = 1. Page 4 of 8: (10 points) find the point on the curve y = x that is closest to the point (3, 0).
