MATH 221 Midterm: MATH 221 KSU f15Test 3

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The point value of each problem is given in the left-hand margin. Use the integral test to determine whether the following series converges or diverges. (the right answer is worth 2 points. Use the limit comparison test to determine whether the following series converges or diverges. (the answer is worth 2 points, showing work 6 points. ) 3n5 n2 page 2 of 5: determine whether the following series converge or diverge. State clearly which test you are using and implement the test as clearly as you can. (the answer for each problem is worth 2 points and the work you show 4 points. ) (6) a) Let s = p n=1 page 3 of 5. 7 + , and sn denote the n -th partial sum. How many terms are required so that the error |s sn| is less than . 01 , where sn denotes the n -th partial sum? ( 1)n+1.