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Convergence Tests p-Series Test Worksheets - 무료 PDF 다운로드

Series

Convergence Tests

p-Series Test

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

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

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

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

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

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

4. convergence\:\sum_{n=1}^{\infty}\frac{1}{n^{5}}

4. convergence\:\sum_{n=1}^{\infty}\frac{1}{n^{5}}

5. convergence\:\sum_{n=1}^{\infty}\frac{1}{n^{\frac{1}{3}}}

5. convergence\:\sum_{n=1}^{\infty}\frac{1}{n^{\frac{1}{3}}}

6. convergence\:\sum_{n=1}^{\infty}\frac{1}{\sqrt{n}}

6. convergence\:\sum_{n=1}^{\infty}\frac{1}{\sqrt{n}}

7. convergence\:\sum_{n=1}^{\infty}\frac{1}{n\sqrt{n}}

7. convergence\:\sum_{n=1}^{\infty}\frac{1}{n\sqrt{n}}

8. convergence\:\sum_{n=0}^{\infty}\frac{1}{n^{\frac{3}{2}}}

8. convergence\:\sum_{n=0}^{\infty}\frac{1}{n^{\frac{3}{2}}}

9. convergence\:\sum_{n=1}^{\infty}\frac{1}{n^{\frac{1}{5}}}

9. convergence\:\sum_{n=1}^{\infty}\frac{1}{n^{\frac{1}{5}}}

10. convergence\:\sum_{n=0}^{\infty}\frac{1}{n^{\frac{100}{99}}}

10. convergence\:\sum_{n=0}^{\infty}\frac{1}{n^{\frac{100}{99}}}

Answers

Series

Convergence Tests

p-Series Test

1. \mathrm{converges}

2. \mathrm{converges}

3. \mathrm{converges}

4. \mathrm{converges}

5. \mathrm{diverges}

6. \mathrm{diverges}

7. \mathrm{converges}

8. \mathrm{converges}

9. \mathrm{diverges}

10. \mathrm{converges}