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Limits Continuity and Differentiability question

2023 · 24 Jan · Shift 1 · Q27

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JEE Main
Mathematics
Limits Continuity and Differentiability
2023 · 24 Jan · Shift 1 · Q27

Limits Continuity and Differentiability question

2023 · 24 Jan · Shift 1 · Q27

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\mathop {\lim }\limits_{t \to 0} {\left( {{1^{{1 \over {{{\sin }^2}t}}}} + {2^{{1 \over {{{\sin }^2}t}}}}\, + \,...\, + \,{n^{{1 \over {{{\sin }^2}t}}}}} \right)^{{{\sin }^2}t}}

is equal to

A
${{n(n + 1)} \over 2}$
B
n
C
n $^2$ + n
D
n $^2$

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