7n 18 3n 6 4n n 1 19 1n ln n 1 20

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Unformatted text preview: 14) 2n 2 + 1 n 4 + 5n + 2 15) ln (7n) n5 16) n 6 e- n 17) n =1 Determine convergence or divergence of the alternating series. ∞ (- 7)n 18) ∑ 3n 6 + 4n n =1 ∞ 19) ∑ (- 1)n ln n =1 ∞ 20) ∑ (- 1)n n =1 7n + 3 6n + 2 6n 2 + 5 2n 2 + 6 Determine if the series converges absolutely, converges, or diverges. ∞ 4n 8 + 4 21) ∑ (- 1)n 8n 9 + 2 n =1 ∞ 22) ∑ n =1 ∞ 23) ∑ n =1 (- 2)n 8n 6 + 8n (- 1)n 7 5n - 4n 18) 19) 20) 21) 22) 23) ∞ 24) ∑ (cos n π) n =1 n! 5n Find the seriesʹ radius of convergence. ∞ (x - 2)n 25) ∑ 2n + 1 n = 0 ∞ 26) ∑ n = 1 ∞ 27) ∑ n = 1 ∞ 28) ∑ n = 0 ∞ ∑ n =1 26) (x - 6)n (5n)! 27) n(n + 1)(n + 2) (x - π)n 6n 28) (x - 4)n (2n)! Find the sum of the series as a function of x. ∞ 31) ∑ (x + 7)n n =0 ∞ 32) ∑ 25) (x - 5)n ln (n + 2) Find the interval of convergence of the series. ∞ (x - 2)n 29) ∑ n46n n =0 30) 24) (x + 7)n 29) 30) 31) 32) n =1 ∞ 33) ∑ n =0 ∞ 34) ∑ n =1 x - 3 n 3...
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