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JEE Advanced 2020 Concept Recapitulation Test 4 Paper 2

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Question : 50 of 54
 
Marks: +1, -0
Consider a square matrix of order 2 given by Dr1−2=[
tan−1‌
r1
r2
−4
cot−1‌
r1
r2
4
] if ∆n=
n
∑
n=1
∑
n2=1
nDn1−2, then find the determinant value of the matrix A defined by A=
lim
n→∞
‌
∆n
n3‌sin(‌
√π
n
)
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