(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]\Sigma^{\infty}_{n=0}[/tex][tex]\frac{1}{2^{n}+(\frac{1}{3})^{n}}[/tex]

2. Relevant equations

3. The attempt at a solution

I decided to use the ratio test:

[tex]\frac{1}{2^{n+1}+(\frac{1}{3})^{n+1}}[/tex] x [tex]\frac{2^{n}+(\frac{1}{3})^{n}}{1}[/tex]

And I got [tex]lim_{n\rightarrow\infty}[/tex][tex]\frac{1}{2 + \frac{1}{3}}[/tex]

But I'm A) pretty sure it's wrong and B) if not, what do I do after that step?

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# Homework Help: Convergence/Divergence of a Series

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