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Unformatted text preview: (2 n )! e n (3 n )! Ratio; L = 0 &lt; 1 17. X 2 5 8 (3 n1) (2 n )! Ratio; L = 0 &lt; 1 18. X ( n !) 2 3 7 11 (4 n1) Ratio; L = &gt; 1 19. X (ln n ) 2 2 n Root; L = 1 2 &lt; 1 20. X n ! n n Ct; b n = 2 n 2 21. X n n n ! n n n ! 1 . Use test for div. Or we may use 20 above and Ex 58 in 11.2. 22. X cos n n 2 + 3 n  a n  ? for absol conv 23. X sin 1 n n LCT; b n = 1 n 2 . See 1 above. 24. X tan 1 n n LCT; b n = 1 n 2 . See 1 above. 25. X e 1 n n 2 LCT b n = 1 n 2 26. Use Root Test for each. X 2 2 n n n X n 2 + 1 5 n X (2 n ) n n 2 n 27. X 2 n (2 n + 1)! CT; b n = 2 n n ! 28. Give the Maclaurin series for each function. e 5 x 3 x cos2 x 3 x 2 sin3 x 29. Find the interval of convergence for each series: X 2 n +1 ( x5) n +1 n 9 2 , 11 2 X ( x + 8) n 3 n n ln n [11 ,5)...
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This note was uploaded on 02/21/2010 for the course MAC 2312 taught by Professor Bonner during the Spring '08 term at University of Florida.
 Spring '08
 Bonner
 Squeeze Theorem

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