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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 $x?$

None of these

\sqrt{5}+\log 5

e^{\sqrt{2}}

1+\sqrt{2}

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by Aman Sharma

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