Find
\[\prod_{k = 0}^\infty \left( 1 + \frac{1}{14^{2^k}} \right).\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find
\[\prod_{k = 0}^\infty \left( 1 + \frac{1}{14^{2^k}} \right).\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{14}{13}
Find
\[\prod_{k = 0}^\infty \left( 1 + \frac{1}{14^{2^k}} \right).\]
train