JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

$n \to \infty lim (\frac{( n + 1 ) ^{1 / 3}}{n ^{4 / 3}} + \frac{( m + 2 ) ^{1 / 3}}{n ^{4 / 3}} + ...... + \frac{( 2 n ) ^{1 / 3}}{n ^{4 / 3}})$ is equal to

A
$\frac{4}{3} (2)^{4 / 3}$
B
$\frac{3}{4} (2)^{4 / 3} - \frac{3}{4}$
C
$\frac{4}{3} (2)^{3 / 4}$
D
$\frac{3}{4} (2)^{4 / 3} - \frac{4}{3}$

Solution

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