- #1

KungPeng Zhou

- 22

- 7

- Homework Statement
- ##{\sqrt{2},\sqrt{2\sqrt{2}}, \sqrt{2\sqrt{2\sqrt{2}}}... }##

- Relevant Equations
- The way to calculate limit of sequence

First, we can know

##a_{n}=\sqrt{2a_{n-1}}##

When##n\rightarrow \infty##

##a_{n}=\sqrt{2a_{n-1}}##

And we can get the answer is 2.

Is this solution right? And is any other way to solve the question?

##a_{n}=\sqrt{2a_{n-1}}##

When##n\rightarrow \infty##

##a_{n}=\sqrt{2a_{n-1}}##

And we can get the answer is 2.

Is this solution right? And is any other way to solve the question?

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