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Home » Solution: Simplify the equation using absolute value: - Fine VPN

Solution: Simplify the equation using absolute value: - Fine VPN

📅 May 13, 2026 👤 scraface

May 13, 2026

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📌 But since $ \lim_{n \to \infty} b_{n+1} = \lim_{n \to \infty} b_n = L $, we must have

📌 L = f(L) = L - \frac{L^4}{4} \Rightarrow \frac{L^4}{4} = 0 \Rightarrow L = 0.

📌 Thus, the sequence converges to $ \boxed{0} $.

📌 To confirm convergence, note that $ f(u) $ is continuous and decreasing on $ (0, \infty) $, and $ b_n \in (0,1] $ for all $ n $, so the sequence is monotonic and bounded, hence convergent.

📌 Question: Let $ p(x) $ be a polynomial such that

📌 p(x) = x^3 - 3x^2 + 5x - 7,

📌 and define $ q(x) = p(x+1) $. What is the coefficient of $ x^2 $ in $ q(x) $?

📌 and $ q(x) = p(x+1) $. To find the coefficient of $ x^2 $ in $ q(x) $, we compute:

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