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Omni-MATH / Let d_(n) be the determinant of the n×n matrix whose entries, from

Problem

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problem

Let dnd_n be the determinant of the n×nn \times n matrix whose entries, from left to right and then from top to bottom, are cos1,cos2,…,cosn2\cos 1, \cos 2, \dots, \cos n^2. Evaluate limn→∞dn\lim_{n\to\infty} d_n.
Plain-text mathematical notation (without MathML)
Let d_(n) be the determinant of the n×n matrix whose entries, from
left to right and then from top to bottom, are cos1,cos2,…,cosn². Evaluate
lim_(n→∞)d_(n).
Original LaTeX notation
Let $d_n$ be the determinant of the $n \times n$ matrix whose entries, from
left to right and then from top to bottom, are $\cos 1, \cos 2, \dots, \cos
n^2$. Evaluate
$\lim_{n\to\infty} d_n$.

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Source and history

task_id
fbe64328-c442-5fc9-bbb1-7a6ed74106bd
task_key
test--fbe64328-c442-5fc9-bbb1-7a6ed74106bd
task_revision_id
1
config / split
/ test

Official source

initial import