w03e2(1) - MATH 116 EXAM II Department of Mathematics...

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MATH 116 — EXAM II Department of Mathematics University of Michigan March 18, 2003 NAME: ID NUMBER: SIGNATURE: INSTRUCTOR: SECTION NO: 1. This exam has nine pages including this cover. There are nine questions. 2. Use of books, notes, or scratch paper is NOT allowed. You may certainly use your calculator (but not its manual). One 3x5-inch notecard is allowed. 3. Show all of your work! Partial credit is available for many problems but can only be given if the graders understand your work. Be sure to explain your reasoning carefully. If you are basing your reasoning on a graph, then sketch the graph. Include units in your answers whenever appropriate. 4. One of the skills being tested in this exam is your ability to interpret detailed, precisely worded directions. Be sure to read the directions carefully and do all that is asked. 5. Stay calm. PROBLEM POINTS SCORE 1 6 2 8 3 12 4 10 5 18 6 10 7 16 8 10 9 10 TOTAL 100 1
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2 1. (2 pts each) Circle true or false. No explanation necessary. True or False : The Taylor series centered at x = 2 of e x is 1 + ( x - 2) + ( x - 2) 2 2! + ( x - 2) 3 3! + ( x - 2) 4 4! + ( x - 2) 5 5! + . . . True or False : If lim n →∞ a n = 0, then n =0 a n converges. True
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w03e2(1) - MATH 116 EXAM II Department of Mathematics...

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