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The value of \(4+\frac{1}{5+\frac{1}{4+\frac{1}{5+\frac{1}{4+\ldots \infty }}}}\) [JEE Main 2021, 17 Mar (Shift 1)]

Q1

The value of \(4+\frac{1}{5+\frac{1}{4+\frac{1}{5+\frac{1}{4+\ldots \infty }}}}\)

[JEE Main 2021, 17 Mar (Shift 1)]

a

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

b

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

c

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

d

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

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