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Test4

Test4 - ∞ ± n =1 1 √ n 1 3 3 Use Comparison test to...

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1. Determine whether the sequence converges or diverges. If it converges, find the limit. (5 points each) (a) 1 1 2 + 1 , 2 2 2 + 1 , 3 3 2 + 1 , 4 4 2 + 1 , ... (b) a n = sin 1 n 2
2. Use Integral test to determine whether the series is convergent or divergent. (10 points)

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Unformatted text preview: ∞ ± n =1 1 √ n + 1 3 3. Use Comparison test to determine whether the series is convergent or divergent. (10 points) ∞ ± n =1 1 + cos n 10 n 4. Use Alternating series test to determine whether the series is convergent or divergent. (10 points) ∞ ± n =1 (-1) n n n 2 + 1 4 5. Use Ratio test to determine whether the series is convergent or divergent. (15 points) ∞ ± n =1 n ! 2 n 6. Use Root test to determine whether the series is convergent or divergent. (15 points) ∞ ± n =1 3 n n n 5 7. Test the series for convergence or divergence. (a) ∑ ∞ k =1 1 5 k (10 points) (b) ∑ ∞ n =1 cos n (10 points) (c) ∑ ∞ n =1 n + 1 4 n (10 points) 6...
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