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estudos gerais04/14/2025

9–26 Determine se a série é convergente ou divergente 9.

9–26 Determine se a série é convergente ou divergente

  1. n=12n0.85\sum_{n=1}^{\infty} \frac{2}{n^{0.85}}

  2. n=1(n1.4+3n1.2)\sum_{n=1}^{\infty} \left(n^{-1.4} + 3n^{-1.2}\right)

  3. 1+18+127+164+1125+1 + \frac{1}{8} + \frac{1}{27} + \frac{1}{64} + \frac{1}{125} + \dots

  4. 1+122+133+144+155+1 + \frac{1}{2\sqrt{2}} + \frac{1}{3\sqrt{3}} + \frac{1}{4\sqrt{4}} + \frac{1}{5\sqrt{5}} + \dots

  5. 1+13+15+17+19+1 + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{9} + \dots

9–26 Determine se a série é convergente ou divergente

9. \( \sum_{n=1}^{\infty} \frac{2}{n^{0.85}} \)

10. \( \sum_{n=1}^{\infty} \left(n^{-1.4} + 3n^{-1.2}\right) \)

11. \( 1 + \frac{1}{8} + \frac{1}{27} + \frac{1}{64} + \frac{1}{125} + \dots \)

12. \( 1 + \frac{1}{2\sqrt{2}} + \frac{1}{3\sqrt{3}} + \frac{1}{4\sqrt{4}} + \frac{1}{5\sqrt{5}} + \dots \)

13. \( 1 + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{9} + \dots \)
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