- #1

Fernando Rios

- 96

- 10

- Homework Statement
- Use the ratio test to find whether the following series converge or diverge:

- Relevant Equations
- ∑ n=0 ∞ √((2n)!)/(n!)

I found that ρ

Then, I found ρ = lim when n→∞ |(1/n) (√(2n+1))/((1/n) (n+1))| = 0

Based on this result I concluded the series converges; however, the book answer says it diverges. What am I doing wrong?

_{n}= √(2n+1)/(n+1).Then, I found ρ = lim when n→∞ |(1/n) (√(2n+1))/((1/n) (n+1))| = 0

Based on this result I concluded the series converges; however, the book answer says it diverges. What am I doing wrong?