14 Determine se as séries convergem ou divergem. 2. -1/3 + 2...

14 Determine se as séries convergem ou divergem. 2. -1/3 + 2/4 - 3/5 + 4/6 - 5/7 + ... 3. 4/7 - 4/8 + 4/9 - 4/10 + 4/11 + ... 4. 1/√2 - 1/√3 + 1/√4 - 1/√5 + ... 5. ∑(n=1 to ∞) (-1)^n n / 10^n 6. ∑(n=1 to ∞) (-1)^n n^{-1} / ln(n + 4) 7. ∑(n=1 to ∞) (-1)^n (3n - 1) / (2n + 1) 8. ∑(n=1 to ∞) (-1)^n n / √n 9. ∑(n=1 to ∞) (-1)^n / √n 10. ∑(n=1 to ∞) (-1)^n n^{1/2} / (1 + 2√n) 11. ∑(n=1 to ∞) (-1)^(n+1) n^2 / (n^3 + 4) 12. ∑(n=1 to ∞) (-1)^(n+1) n / (2n) 13. ∑(n=1 to ∞) cos(nπ) / (n^{3/4}) 14. ∑(n=1 to ∞) sin(nπ/2) / n!

$14 Determine se as séries convergem ou divergem. 2. -1/3 + 2/4 - 3/5 + 4/6 - 5/7 + ... 3. 4/7 - 4/8 + 4/9 - 4/10 + 4/11 + ... 4. 1/√2 - 1/√3 + 1/√4 - 1/√5 + ... 5. ∑(n=1 to ∞) (-1)^n n / 10^n 6. ∑(n=1 to ∞) (-1)^n n^{-1} / ln(n + 4) 7. ∑(n=1 to ∞) (-1)^n (3n - 1) / (2n + 1) 8. ∑(n=1 to ∞) (-1)^n n / √n 9. ∑(n=1 to ∞) (-1)^n / √n 10. ∑(n=1 to ∞) (-1)^n n^{1/2} / (1 + 2√n) 11. ∑(n=1 to ∞) (-1)^(n+1) n^2 / (n^3 + 4) 12. ∑(n=1 to ∞) (-1)^(n+1) n / (2n) 13. ∑(n=1 to ∞) cos(nπ) / (n^{3/4}) 14. ∑(n=1 to ∞) sin(nπ/2) / n!$

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