Infinite Product - Seems to telescope Evaluate
$$\left(1 + \frac{2}{3+1}\right)\left(1 + \frac{2}{3^2 + 1}\right)\left(1 + \frac{2}{3^3 + 1}\right)\cdots$$
It looks like this product telescopes: the denominators cancel out (except the last one) and the numerators all become 3. 
What would my answer be?

Hint: The general form of a factor is
$$
1+\frac{2}{3^n+1}=\frac{3^n+3}{3^n+1}=\frac{3\cdot(3^{n-1}+1)}{3^n+1}
$$
Now, can you find the general form of a partial product?
