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Unformatted text preview: Name: Section: MAC 2312 Homework 3 Due March 13, 2012 SHOW ALL OF YOUR WORK L18: The Integral Test for Series 1. Use the integral test to determine whether the series ∞ summationdisplay n =1 ne n 2 converges. Be sure to verify all hypotheses of the integral test. 1 2. Use the integral test to determine the values of p for which the series ∞ summationdisplay n =2 ln n n p is convergent. Be sure to verify all hypotheses of the the integral test. 2 3. Use the integral test to determine whether the series ∞ summationdisplay n =1 arctan n 1 + n 2 converges. Be sure to verify all hypotheses of the integral test. 3 4. Use the integral test to determine whether the series ∞ summationdisplay n =2 ln n n 2 converges. Be sure to verify all hypotheses of the integral test. 4 5. Use the integral test to determine whether the series ∞ summationdisplay n =1 1 √ n + 1 converges. Be sure to verify all hypotheses of the integral test. 5 L19: Comparison Tests for Series 6. Use either the comparison test or the limit comparison test to determine whether the series ∞ summationdisplay n =1 n ! n n is convergent or divergent. Be sure it is clear which series you compare the given series to and which comparison test you use. 6 7. Use either the comparison test or the limit comparison test to determine whether the series ∞ summationdisplay n =1 1 + 2 n 1 + 3 n is convergent or divergent. Be sure it is clear which series you compare the given series to and which comparison test you use....
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This note was uploaded on 03/27/2012 for the course MAC 2312 taught by Professor Bonner during the Spring '08 term at University of Florida.
 Spring '08
 Bonner
 Calculus

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