I need to use the ratio test to determine if the infinite series $\displaystyle \frac{3^n}{2^n +1}$ converges or diverges.
I began with $\frac{a_{n+1}}{a_n}$ and got to $$\frac{3(2^n+1)}{2^{n+1}+1}$$ but I don't really know where to go next...
I need to use the ratio test to determine if the infinite series $\displaystyle \frac{3^n}{2^n +1}$ converges or diverges.
I began with $\frac{a_{n+1}}{a_n}$ and got to $$\frac{3(2^n+1)}{2^{n+1}+1}$$ but I don't really know where to go next...