Question
Determine whether the sequence defined as follows has a limit. If it does, find the limit.$a_{1}=\sqrt{2}, \quad a_{2}=\sqrt{2 \sqrt{2}}, \quad a_{3}=\sqrt{2 \sqrt{2 \sqrt{2}}}$ etc.
Step 1
We can write this as: \[a_{n}=\sqrt{2a_{n-1}}\] Show more…
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