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Q. $2^{1 / 4} \cdot 4^{1 / 8} \cdot 8^{1 / 16} \cdot 16^{1 / 32} \cdot 32^{1 / 64} \ldots \ldots . \infty$ is equal to

Sequences and Series

Solution:

$E =2^{1 / 4} \cdot 4^{1 / 8} \cdot 8^{1 / 16} \cdot 16^{1 / 32} \cdot 32^{1 / 64}$

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