- #1
Euler2718
- 90
- 3
Homework Statement
Use any appropriate test to determine the convergence or divergence of the following series:
[tex] \sum_{i=0}^{\infty} \frac{2^{i} + 3^{i}}{4^{i}+5^{i}} [/tex]
Homework Equations
The Attempt at a Solution
I've run it through mathematica and it told me it's convergent. However, I can't seem to find the right test to use. Ratio test / Limit comparison doesn't seem to work as nothing cancels, I can't find a test series for direct comparison, and root test wouldn't work? Have I over looked anything?