The value of $\sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4...........}}}}}}$ is :

The value of $\sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4...........}}}}}}$ is :
1). 2
2). $2^{2}$
3). $2^{3}$
4). $2^{5}$

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