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Let $\left\{x_{n}\right\}_{n \geq 0}$ be a sequence of real numbers which satisfy
$x_{n+1}\left(1+x_{n+1}\right) \leq x_{n}\left(1+x_{n}\right), \quad n \geq 0 .$
Choose the correct option from the following.

1. The sequence could be unbounded.
2. The sequence is always bounded but does not necessarily converge.
3. The sequence always converges to a non-zero limit.
4. The sequence always converges to zero.
5. None of the above.