Hey, I need to find if these Converge or Diverge. Please help!
∞
∑ (−1)^n−1 / √n
n=1
∞
∑ (−1)^n−1 / n√n
n=1
∞
∑ (−1)^n * n / 3 + n
n=1
∞
∑ sin(2n) / n^2
n=1
∞
∑ cos(n*pi / 3) / n!
n=1
∞
∑ (-1)^n * n / 3 + ln(n)
n=1
consider reading these articles:
Convergent series - Wikipedia, the free encyclopedia
Convergence tests - Wikipedia, the free encyclopedia
I solved them, but I'd like you guys to check my solutions, as I only have one chance to input my answer and I'm still a bit unsound on my methods:
1. Divergent
2. Convergent
3. Convergent
4. Divergent
5. Divergent
6. Convergent
(correspond to the order I posted the problems)