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The following limit is to be solved:

$$

\lim_{n\to\infty}(\sqrt{2} \cdot \sqrt[4]{2} \cdot \sqrt[8]{2} \cdot \sqrt[16]{2} \cdot … \cdot \sqrt[2^n]{2})

$$

all of my attempts to (properly) solve it so far have been futile.

And help will be

$$

\lim_{n\to\infty}(\sqrt{2} \cdot \sqrt[4]{2} \cdot \sqrt[8]{2} \cdot \sqrt[16]{2} \cdot … \cdot \sqrt[2^n]{2})

$$

all of my attempts to (properly) solve it so far have been futile.

And help will be

**greatly**appreciated!**EDIT:**Perhaps this should go to precalc? It's the first time I'm posting here-- so please go easy on me.
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