Hello, I have a question i can figure out.(adsbygoogle = window.adsbygoogle || []).push({});

THE QUESTION:

Show that

[tex]\sqrt{2}, \sqrt{2\sqrt{2}}, \sqrt{2\sqrt{2\sqrt{2}}}, ...[/tex]

converges and find the limit.

From what I see, the first term is root 2, the second term will be the root of 2 times the first term making it larger than the first term, the third term will be the root of 2 times the second term making it larger than the second term.

How can this converge to a real number?

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# Convergent Series Question

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