What is the numerical value of \[ x = \frac{1}{2-\frac{1}{2-\frac{1}{2-\ldots}}} ?\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the numerical value of \[ x = \frac{1}{2-\frac{1}{2-\frac{1}{2-\ldots}}} ?\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
What is the numerical value of \[ x = \frac{1}{2-\frac{1}{2-\frac{1}{2-\ldots}}} ?\]
train