- #1
Fernando Rios
- 96
- 10
- Homework Statement
- Use the integral test to find whether the following series converge or diverge.
- Relevant Equations
- ∑ n=1 ∞ (e^n/(e^(2n)+9))
After evaluating the integral I found the following:
(1/3)tan-1(e∞/3) = (1/3)tan-1(∞) = (1/3)(nπ/2), where n is an odd number. In this case I found multiple solutions to the problem. How do you prove it converges?
(1/3)tan-1(e∞/3) = (1/3)tan-1(∞) = (1/3)(nπ/2), where n is an odd number. In this case I found multiple solutions to the problem. How do you prove it converges?