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Continued fractions:-

Number Theory Level 2

\[\large x=2+\frac{1}{2+\frac{1}{2+\frac{1}{2+\frac{1}{2+\ddots}}}}\]

Given the above, what is the value of \(x?\)

\[e^{\sqrt{2}}\] \[1+\sqrt{2}\] \[\sqrt{5}+\log 5\] None of these

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by Aman Sharma

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