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Limits Continuity and Differentiability question

2019 · Shift 2 · Q23

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PYQ Library
JEE Advanced
Mathematics
Limits Continuity and Differentiability
2019 · Shift 2 · Q23

Limits Continuity and Differentiability question

2019 · Shift 2 · Q23

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityMultiple correct+4 / −1

For

a \in R,\,|a|\, \gt 1

, let

\mathop {\lim }\limits_{n \to \infty } \left( {{{1 + \sqrt[3]{2} + ...\sqrt[3]{n} } \over {{n^{7/3}}\left( {{1 \over {{{(an + 1)}^2}}} + {1 \over {{{(an + 2)}^2}}} + ... + {1 \over {{{(an + n)}^2}}}} \right)}}} \right) = 54

A
$-$ 6
B
$-$ 7
C
8
D
$-$ 9

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