Readinstructionsread !: your exam contains 7 problems and 9 pages; please make sure you have a complete. Exam: the entire exam is worth 100 points. Point values for problems vary and these are clearly indicated. You have 2 hours and 50 minutes for this nal exam: make sure to always show your work; you will not receive any partial credit unless all work is clearly shown. If you need extra space, use the back pages of the exam and clearly indicate this: you are allowed one 8. 5 11 sheet of handwritten notes (both sides), no calculators are permitted for this exam. 1: (16 points) (a) evaluate the following limits. If you conclude that a limit does not exist, justify your answer. i. lim x (cid:16)x . X2 + 4x(cid:17) ii. lim x 0 ex sin(x) 1 x4 + 7x2 (b) compute the derivatives of the following functions: y = cos(ln(arcsin(x)), g(x) = x.
