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estudos gerais02/03/2025

2-26 Determine se as séries são absolutamente convergentes (...

2-26 Determine se as séries são absolutamente convergentes (AC), condicionalmente convergentes (CC) ou divergentes (D).

  1. ∑_{n=1}^{∞} n²/2ⁿ
  2. ∑_{n=1}^{∞} (-10)ⁿ/n!
  3. ∑_{n=1}^{∞} (-1)ⁿ/n⁴
  4. ∑_{n=1}^{∞} (-1)ⁿ+¹/√[4]{n}
  5. ∑_{n=1}^{∞} (-1)ⁿ-¹ 2ⁿ/n⁴
  6. ∑_{n=1}^{∞} e^{-n}n!
  7. ∑_{n=1}^{∞} (-1)ⁿ(1,1)ⁿ/n⁴
  8. ∑_{n=1}^{∞} (-1)ⁿ(n-1)n/n²+1
  9. ∑_{n=1}^{∞} (-1)ⁿ e^{1/n}/n³
  10. ∑_{n=1}^{∞} sin(4n)/4ⁿ
  11. ∑_{n=1}^{∞} (-1)ⁿ(n+1)n²²ⁿ/n!
  12. ∑_{n=1}^{∞} (-1)ⁿ arctan n/n²
  13. ∑_{n=1}^{∞} 3-cos n/n²/3-2
  14. ∑_{n=1}^{∞} 2·4·6·...·2n/n!

2-26 Determine se as séries são absolutamente convergentes (AC), condicionalmente convergentes (CC) ou divergentes (D).

2. ∑_{n=1}^{∞} 
   n²/2ⁿ
3. ∑_{n=1}^{∞} 
   (-10)ⁿ/n!
4. ∑_{n=1}^{∞} 
   (-1)ⁿ/n⁴
5. ∑_{n=1}^{∞} 
   (-1)ⁿ+¹/√[4]{n}
6. ∑_{n=1}^{∞} 
   (-1)ⁿ-¹ 2ⁿ/n⁴
8. ∑_{n=1}^{∞} 
   e^{-n}n!
9. ∑_{n=1}^{∞} 
   (-1)ⁿ(1,1)ⁿ/n⁴
10. ∑_{n=1}^{∞} 
   (-1)ⁿ(n-1)n/n²+1
11. ∑_{n=1}^{∞} 
   (-1)ⁿ e^{1/n}/n³
12. ∑_{n=1}^{∞} 
   sin(4n)/4ⁿ
14. ∑_{n=1}^{∞} 
   (-1)ⁿ(n+1)n²²ⁿ/n!
15. ∑_{n=1}^{∞} 
   (-1)ⁿ arctan n/n²
16. ∑_{n=1}^{∞} 
   3-cos n/n²/3-2
17. ∑_{n=1}^{∞} 
   2·4·6·...·2n/n!
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