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The value of \( 3+\frac{1}{4+\frac{1}{3+\frac{1}{4+\frac{1}{3+\ldots \infty}}}} \) is equal to [JEE Main 2021, 18 Mar (S…

Q1

The value of \( 3+\frac{1}{4+\frac{1}{3+\frac{1}{4+\frac{1}{3+\ldots \infty}}}} \) is equal to

[JEE Main 2021, 18 Mar (Shift 1)]

a

\( 1.5+\sqrt{3} \)

b

\( 2+\sqrt{3} \)

c

\( 3+2 \sqrt{3} \)

d

\( 4+\sqrt{3} \)

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