We've updated our
Privacy Policy effective December 15. Please read our updated Privacy Policy and tap

TEXT

Convergence Tests Divergence Test Worksheets

Series

Convergence Tests

Divergence Test

1. convergence\:\sum_{n=1}^{\infty}\frac{1}{1+2^{\frac{1}{n}}}

1. convergence\:\sum_{n=1}^{\infty}\frac{1}{1+2^{\frac{1}{n}}}

2. convergence\:\sum_{n=2}^{\infty}\frac{1}{(\ln(n))^{\frac{1}{n}}}

2. convergence\:\sum_{n=2}^{\infty}\frac{1}{(\ln(n))^{\frac{1}{n}}}

3. convergence\:\sum_{n=1}^{\infty}\frac{n}{\sqrt{n^{2}+1}}

3. convergence\:\sum_{n=1}^{\infty}\frac{n}{\sqrt{n^{2}+1}}

4. convergence\:\sum_{n=1}^{\infty}(1+\frac{1}{n})^{n}

4. convergence\:\sum_{n=1}^{\infty}(1+\frac{1}{n})^{n}

5. convergence\:\sum_{n=1}^{\infty}(-1)^{n}\frac{n}{\ln(n)}

5. convergence\:\sum_{n=1}^{\infty}(-1)^{n}\frac{n}{\ln(n)}

6. convergence\:\sum_{n=1}^{\infty}\frac{n^{2}}{3n^{2}+4}

6. convergence\:\sum_{n=1}^{\infty}\frac{n^{2}}{3n^{2}+4}

7. convergence\:\sum_{n=1}^{\infty}(\frac{2n}{2n-1})^{n}

7. convergence\:\sum_{n=1}^{\infty}(\frac{2n}{2n-1})^{n}

8. convergence\:\sum_{n=1}^{\infty}(-1)^{n+1}n

8. convergence\:\sum_{n=1}^{\infty}(-1)^{n+1}n

9. convergence\:\sum_{n=1}^{\infty}(-1)^{n+1}2^{\frac{1}{n}}

9. convergence\:\sum_{n=1}^{\infty}(-1)^{n+1}2^{\frac{1}{n}}

10. convergence\:\sum_{n=1}^{\infty}(-1)^{n+1}(1+\frac{1}{n})^{-n}

10. convergence\:\sum_{n=1}^{\infty}(-1)^{n+1}(1+\frac{1}{n})^{-n}

Answers

Series

Convergence Tests

Divergence Test

1. \mathrm{diverges}

2. \mathrm{diverges}

3. \mathrm{diverges}

4. \mathrm{diverges}

5. \mathrm{diverges}

6. \mathrm{diverges}

7. \mathrm{diverges}

8. \mathrm{diverges}

9. \mathrm{diverges}

10. \mathrm{diverges}