JEE Advanced 2020 Concept Recapitulation Test 4 Paper 2

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Question : 39 of 54

Marks: +1, -0

If

lim

n→∞

(‌

1

12

+‌

1

22

+.....+‌

1

n2

)=‌

π2

6

and S=

lim

n→∞

(‌

1

13.23

+‌

1

23⋅33

+‌

1

33⋅43

+......+‌

1

n3⋅(n+1)3

) then S+π2 is equal to

A non-integral number
An rational number
A transcendental number
An integer

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