jee-main 2021 Q69

jee-main · India · session1_25feb_shift1 Sequences and series, recurrence and convergence Limit Computation from Algebraic Expressions

$\lim _ { n \rightarrow \infty } \left( 1 + \frac { 1 + \frac { 1 } { 2 } + \ldots\ldots + \frac { 1 } { n } } { n ^ { 2 } } \right) ^ { n }$ is equal to
(1) $\frac { 1 } { e }$
(2) 0
(3) $\frac { 1 } { 2 }$
(4) 1

$\lim _ { n \rightarrow \infty } \left( 1 + \frac { 1 + \frac { 1 } { 2 } + \ldots\ldots + \frac { 1 } { n } } { n ^ { 2 } } \right) ^ { n }$ is equal to\\
(1) $\frac { 1 } { e }$\\
(2) 0\\
(3) $\frac { 1 } { 2 }$\\
(4) 1

Paper Questions

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