jee-main 2021 Q61

jee-main · India · session2_18mar_shift1 Sequences and series, recurrence and convergence Convergence proof and limit determination

The value of $3 + \frac { 1 } { 4 + \frac { 1 } { 3 + \frac { 1 } { 4 + \frac { 1 } { 3 + \ldots . \infty } } } }$ is equal to
(1) $1.5 + \sqrt { 3 }$
(2) $2 + \sqrt { 3 }$
(3) $3 + 2 \sqrt { 3 }$
(4) $4 + \sqrt { 3 }$

The value of $3 + \frac { 1 } { 4 + \frac { 1 } { 3 + \frac { 1 } { 4 + \frac { 1 } { 3 + \ldots . \infty } } } }$ is equal to\\
(1) $1.5 + \sqrt { 3 }$\\
(2) $2 + \sqrt { 3 }$\\
(3) $3 + 2 \sqrt { 3 }$\\
(4) $4 + \sqrt { 3 }$

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