MATH 222 Final: MATH 222 UW Madison Final 2017
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Math 222 (lectures 2,3, and 4) fall 2017. Circle your ta"s name from the following list. Problem 1 problem 2 problem 3 problem 4 problem 5. Problem 6 problem 7 problem 8 problem 9 problem 10. Instructions: on problems 1 and 2 only the answer will be graded. For example, please write cos(arcsin x) = 1 x2: final answers should not involve functions applied to either in nity or applied to a point outside of their domain. For instance, arctan( ) and ln(0) and 5 will not be accepted as a nal answer. You do not need to show your work. (a) (b) (c) (d) (e) False (a) the series p k=0 k! (2k)! converges. (b) the series p k=0. X+x2 x3+x5 dx converges. (d) if sin = x+2. 25 25 (x+2)2 . (e) (1 + x3)1/2 1 is o(x2): on this page only the answer will be graded. (a) compute r.