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Test 4B - MA 241 Test 4 Form B Textbook 8.2 through 8.6*No...

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Unformatted text preview: MA 241 Test 4 Form B Textbook 8.2 through 8.6 *No calculators, No cell phones, No PDAs *No questions during the test unless there is a typing error *Please begin each problem at the top of a new page in the blue book *Please do not leave if you have to pass over someone in your row; wait until group “leave” times are announced. *Show all work. Mark out any work you do not want graded. All work involving series must state the test name, show all criteria met and make a concluding statement. 1. ( 10 points) Express. the repeating decimal as a rational number (that is, the ratio of integers): .25 = 25252525... 2. (16 points each) Pick 3 of the following 4 series to determine if the series converges or diverges. Be sure to mark out any work you do not want graded. Clearly indicate the problem you are omitting. °° 22n +1 II n-l °° 1 d. 2SnZ—l n-l 3. Find the interval of convergence for the power series: a. (10 points) 2 (x - 3) l "-0 n' xn b. (17 points) 2 4" n n-l 3x2 1 + x a. (10 pts) Find the power series representation centered at 0. b. (5 pts) Write the first 3 terms of the series. 4. For the function f (x) = answer all the following: 4’ ...
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