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why is the texas flag half mast today - Malaeb

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Step 1: Analyze the function \( f(u) \)

📌 Note that for \( u > 0 \),

📌 f(u) = u - \frac{u^5}{5} < u,

📌 so the sequence \( \{b_n\} \) is strictly decreasing as long as \( b_n > 0 \).

📌 Step 2: Compute initial terms numerically

📌 We compute successive values:

📌 \( b_2 = 1 - \frac{1^5}{5} = 1 - 0.2 = 0.8 \)

📌 \( b_3 = 0.8 - \frac{(0.8)^5}{5} = 0.8 - \frac{0.32768}{5} = 0.8 - 0.065536 = 0.734464 \)

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