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1st - (2 n-1 n 3 Determine whether the sequence is...

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MATH 120 RECITATION QUESTIONS (WEEK 1) 1. Determine whether the sequence converges or diverges.If it converges,find the limit. a ) a n = ( - 1) n n 3 n 3 + 2 n 2 + 1 b ) a n = n ln n ln 2 n o c ) a n = n ! 2 n 2. Use a graph of the sequence to decide whether the sequence is convergent or divergent.If the seguence is convergent,guess the value of the limit from the graph and prove your guess.(see the margin note on page 743 for advice on graphing sequence) a ) a n = 1 · 3 · 5 · · · (2 n - 1) (2 n ) n b ) a n = 1 · 3 · 5
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Unformatted text preview: · · · (2 n-1) n ! 3. Determine whether the sequence is increasing,decreasing,or not monotonic.Is the sequence bounded? a ) a n = 2 n-3 3 n + 4 b ) a n = n + 1 n 4. Determine whether the series is convergent or divergent.If it is convergent,find its sum. a ) ∞ X i =1 (-6) n-1 5 n-1 b ) ∞ X i =1 e n 3 n-1 c ) ∞ X i =1 ( n + 1) 2 n ( n + 2) d ) ∞ X i =1 2 n 2 + 4 n + 3 1...
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