I'm having difficulty with this problem:
What i did was:
I rewrote the $1$ as $\frac{3}{3}$
here is what i rewrote the whole product as:
$$\left(\frac{3}{3}+\frac{1}{3}\right)\left(\frac{3}{3}+\frac{1}{3^2}\right)\left(\frac{3}{3}+\frac{1}{3^4}\right)\cdots\left(\frac{3}{3}+\frac{1}{3^{2^n}}\right)$$
but how would i proceed after this?
HINT: Multiply the expression by $\left(1-\frac13\right)$ and do a lot of simplifying.