lim n→∞ ((n+1)^(1/3)/n^(4/3)+... | Definite Integrals

JEE MAIN_2019_

10-04-2019-S-1

Question

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

Select the correct option:

$\frac{4}{3}(2)^{4 / 6}$

$\frac{3}{4}(2)^{4 / 3}-\frac{3}{4}$

$\frac{4}{3}(2)^{3 / 4}$

$\frac{3}{4}(2)^{4 / 6}-\frac{4}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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