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I need to fins the real vlaue of x for the continued fraction (Image attached)

I have tried partial coefficient method, but didn't get the exact answer.

I there any way where we can identify the value of x algebrically?

1 Answers1

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Hint:

Try to solve $$x=12+\dfrac{1}{2+ \dfrac{1}{2+ \dfrac{1}{x} } }$$

Henry
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