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Unformatted text preview: 6. Determine whether the given sequence converges or diverges. If the sequence converges, nd the limit. If the sequence diverges, determine whether the sequence diverges to ,- , or neither. Justify your answer. a n = (sin n )( n 5 n 4 + 2 n ) n 7. Evaluate the given limit if possible. Justify your answer. lim x + ( (exp( 1 x ))( x 3 + x-1) ) 8. Evaluate the given limit if possible. Justify your answer. lim x ( x sin x ) 2 3 x 4 + 2 x + 5 PART FOUR: DETERMINE IF THE STATEMENT IS TRUE OR FALSE. (2 points each, 4 total points). 10. If S is the set of rational numbers with 1 < x < 2, then 2 is an accumulation point of S . 11. Every sequence of real numbers has at least one subsequence which coverges to a real number....
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This note was uploaded on 01/03/2012 for the course MAA 4102 taught by Professor Dr.vince during the Fall '09 term at University of Florida.
- Fall '09