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Determine the value of the infinite product

\((2^{1/3})(2^{1/9})(2^{1/27}) \dotsm\)

 

  Enter your answer in the form "\sqrt[a]{b}"

 May 21, 2022
 #1
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∏ [ 2^ (1 / 3^n), n, 1, ∞ ] ==It converges to sqrt(2)

 May 21, 2022

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