- #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 ρn = √(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?
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?