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Asymptotic behavior of functions, asymptotic series and related topics

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Minimization of a palindromic-like sequence and asymptotics

Suppose that I have a sequence of $n$ numbers $x_1, \ldots, x_n$ all taken from the real interval $[0,1]$. I am interested in minimizing the infinity norm of the vector $$ v = \left( \frac{x_{1}}{x_2} …