JEE Main 9 Apr 2024 Shift 1 Solved Paper

Section: Mathematics
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Question : 24 of 90
 
Marks: +1, -0
Let
‌
lim
n⟶∞
(‌
n
√n4+1
−‌
2n
(n2+1)√n4+1
+‌
n
√n4+16
−‌
8n
(n2+4)√n4+16
.

‌+.......+‌
n
√n4+n4
−‌
2nâ‹…n2
(n2+n2)√n4+n4
)
‌ be
‌
‌
Ï€
k
,

using only the principal values of the inverse trigonometric functions. Then k2 is equal to ______.
[9 Apr 2024 Shift 1]
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