Evaluating $ \lim_{n\rightarrow \infty}\prod_{k=0}^{n}\left (1+a^{2^k}\right )$, where $|a|<1$
Hint: $1+a^{2^k} = \dfrac{1-a^{2^{k+1}}}{1-a^{2^k}}$
Evaluating $ \lim_{n\rightarrow \infty}\prod_{k=0}^{n}\left (1+a^{2^k}\right )$, where $|a|<1$
Hint: $1+a^{2^k} = \dfrac{1-a^{2^{k+1}}}{1-a^{2^k}}$