Let \( A_{n} \) stand for the expressive \( \left(1+3^{-1}\right)\l...

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Let \( A_{n} \) stand for the expressive
\( \left(1+3^{-1}\right)\left(1+3^{-2}\right)\left(1+3^{-4}\right) \ldots\left(1+3^{-2^{n}}\right) \)
If \( L=\lim _{n \rightarrow \infty} A_{n} \), then
(a) \( 2 L \) is prime
(b) \( L2 \)
(c) \( L \) is prime
(d) \( L1 \)
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