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The value of $x = 2^{1 / 4} 4^{1 / 8} 8^{1 / 16} 16^{1 / 32} \dots$ is

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Correct option is A

x=2Swhere S=14+28+316+432+…⇒12S=18+216+332+…Subtracting, we get 12S=14+18+116+132+…=1/41−1/2=14×2=12⇒ S=1.∴ x=2

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The value of x=21/441/881/16161/32… is

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The value of $x = 2^{1 / 4} 4^{1 / 8} 8^{1 / 16} 16^{1 / 32} \dots$ is