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lim(n to oo) (((n + 1)^((1)/(3)))/(n^((...

`lim_(n to oo) (((n + 1)^((1)/(3)))/(n^((4)/(3))) + ((n + 2)^((1)/(3)))/(n^((4)/(3))) + …… ((2n)^((1)/(3)))/(n^((4)/(3))))` is equal to :

A

`(3)/(4) (2)^((4)/(3)) - (3)/(4)`

B

`(4)/(5) (2)^((4)/(3))`

C

`(3)/(4) (2)^((4)/(3)) - (4)/(5)`

D

`(4)/(3) (2)^((3)/(4))`

Text Solution

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The correct Answer is:
A
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