This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: gonzales (pag757) HW 03 Odell (57000) 1 This printout should have 23 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points If a n , b n , and c n satisfy the inequalities < a n c n b n , for all n , what can we say about the series ( A ) : summationdisplay n =1 a n , ( B ) : summationdisplay n = 1 b n if we know that the series ( C ) : summationdisplay n = 1 c n is convergent but know nothing else about a n and b n ? 1. ( A ) need not converge , ( B ) converges 2. ( A ) converges , ( B ) need not converge 3. ( A ) diverges , ( B ) converges 4. ( A ) converges , ( B ) diverges 5. ( A ) converges , ( B ) converges 6. ( A ) diverges , ( B ) diverges 002 10.0 points Which, if any, of the following series converge? ( A ) summationdisplay k = 2 1 k (ln k ) 2 + 3 ( B ) summationdisplay n =5 parenleftBig 2 3 parenrightBig n 1. B but not A 2. A but not B 3. neither A nor B 4. A and B 003 10.0 points Determine whether the series summationdisplay n = 1 3 6 + 4 n converges or diverges. 1. series is divergent 2. series is convergent 004 10.0 points Which, if any, of the following series converge? ( A ) summationdisplay n =4 4 n n 3 ( B ) summationdisplay n = 1 1 + sin n 3 n 1. A but not B 2. B but not A 3. neither A nor B 4. A and B 005 10.0 points10....
View
Full
Document
This note was uploaded on 10/28/2009 for the course M 57000 taught by Professor Odell during the Fall '09 term at University of Texas at Austin.
 Fall '09
 odell

Click to edit the document details