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The value of

\(\begin{equation} 4 + \cfrac{1}{5 + \cfrac{1}{4 + \cfrac{1}{5 + \cfrac{1}{4 + ...... \infty} } } } \end{equation}\) is :

(1) \(2 + \frac{2}{5}\sqrt{30}\)

(2) \(2 + \frac{4}{\sqrt{5}}\sqrt{30}\)

(3) \(4 + \frac{4}{\sqrt{5}}\sqrt{30}\)

(4) \(5 + \frac{2}{5}\sqrt{30}\)

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