## anonymous 5 years ago How do you test this series for convergence or divergence? 4/7 - 4/8 + 4/9 - 4/10 + 4/11 - .....

1. anonymous

First find the sum notation form of the series: $\sum_{1}^{\infty}(-1)^{n+1}(4/(n+6))$ Since it's an alternating, you can use the Alternating Series Theorem. i)An is positve ii)An+1 < An iii) $\lim_{n \rightarrow \infty} 4/(n+6)$ Prove all three conditions are true and it's convergent

2. anonymous

limit = 0

3. anonymous

ok thanks =)