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Home » Find the maximum possible value of $r$ along this path. - AMAZONAWS

Find the maximum possible value of $r$ along this path. - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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x^2 - (a + b)x + ab = 0 \Rightarrow x^2 - 4x + 3 = 0
Roots: \( x = rac{4 \pm \sqrt{16 - 12}}{2} = rac{4 \pm 2}{2} = 3, 1...
So \( a, b = 1, 3 \) (up to order), both real.
Then \( |a - b| = |1 - 3| = 2 \)
Since the expression is symmetric and values real, and sum/square matc...
oxed{2}
Define \( L(u) = u - rac{u^3}{3} \) for every real number \( u \). If...
We are given a recursive sequence:
\( a_1 = rac{1}{2} \)
\( a_{n+1} = L(a_n) = a_n - rac{a_n^3}{3} \)

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