Assignment 13: Series Convergence

级数收敛性综合练习

综合练习:收敛判别法、绝对/条件收敛

1. Which test is best for Σ n!/(nⁿ)?

2. Σ (-1)ⁿ/√n is:

3. By the Integral Test, Σ 1/(n²+1) converges because:

4. If Σ aₙ converges absolutely, then:

5. Use the Limit Comparison Test with bₙ = 1/n³ to determine if Σ n/(n⁴+1) converges: