The sequence $(x_n)$ satisfies $x_0 = 3$ and
\[x_n = \frac{1 + x_{n - 1}}{1 - x_{n - 1}}\]for all $\ge 1.$  Find $x_{12345}.$
Question:
The sequence $(x_n)$ satisfies $x_0 = 3$ and
\[x_n = \frac{1 + x_{n - 1}}{1 - x_{n - 1}}\]for all $\ge 1.$  Find $x_{12345}.$
Answer:
Let's think step by step.

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The sequence $(x_n)$ satisfies $x_0 = 3$ and
\[x_n = \frac{1 + x_{n - 1}}{1 - x_{n - 1}}\]for all $\ge 1.$  Find $x_{12345}.$
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