# Solution: 2009-4 Initial values

Let $$a_0=a$$ and $$a_{n+1}=a_n (a_n^2-3)$$. Find all real values $$a$$ such that the sequence $$\{a_n\}$$ converges.

The best solution was submitted by Jaesong Lee (이재송), 전산학과 2005학번. Congratulations!

Check his Solution of Problem 2009-4. (This proof can be slightly improved in the second half.)

Alternative solutions were submitted by 김치헌 (+2), 백형렬 (+3).

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