To ascertain whether a series is divergent, one must investigate if the total of its terms is approaching a definite value. If the sum either does not exist or is infinite, then the series is classified as divergent. Different methods such as the comparison test, ratio test, root test, and integral test can be employed to establish divergence.
| Topic | Problem | Solution |
|---|---|---|
| None | For the sequence, determine if the divergence tes… | The divergence test states that if the limit of a sequence as n approaches infinity is not zero, th… |
| None | 8.(8pts) Determine whether the series is absolute… | First, we will determine the convergence of each series using the appropriate tests: |
| None | Test the series for convergence or divergence. \[… | 이것은 수열 문제입니다. 수렴 또는 발산을 테스트하기 위해 비율 테스트를 사용할 수 있습니다. 비율 테스트는 n이 무한대에 접근할 때 수열의 (n+1)번째 항과 n번째 항의 비의… |
| None | Question Determine if the series below converges … | First, we can factor the denominator with a little give and take: \[8n^3 + 2 = 8n^3 + 4n^{3/2} + 2 … |