For a belongs to real..... | JEE Advanced 2019 | Mathematics

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JEE Advance 2019

Paper-2 2019

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Question

For $a \in \mathbb{R},|a|>1$, let $\lim _{n \rightarrow \infty}\left(\frac{1+\sqrt[3]{2}+\ldots . .+\sqrt[3]{n}}{n^{7 / 3}\left(\frac{1}{(a n+1)^2}+\frac{1}{(a n+2)^2}+\ldots \ldots+\frac{1}{(a n+n)^2}\right)}\right)=54$. Then the possible value(s)

Select ALL correct options:

A

8

B

-9

C

-6

D

7

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

Question Tags

JEE Advance

Mathematics

Easy

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