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Home » Inside Payette, Idaho: How This Small Town Is Booming in 2024—You Need to See It! - Sourci

Inside Payette, Idaho: How This Small Town Is Booming in 2024—You Need to See It! - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 But when \( y = -1 \), \( x^2 = 0 \Rightarrow x = 0 \), valid.

📌 As \( y \to 1^- \), \( \frac{y+1}{y-1} \to -\infty \), invalid.

📌 When \( y < -1 \), \( \frac{y+1}{y-1} > 0 \), e.g., \( y = -2 \Rightarrow x^2 = \frac{-1}{-3} = \frac{1}{3} \), real \( x \).

📌 But can \( y \) be arbitrary? Let’s solve for \( y \):

📌 y = \frac{x^2 + 1}{x^2 - 1} = 1 + \frac{2}{x^2 - 1}.

📌 As \( x^2 \to 1^+ \), \( y \to +\infty \); \( x^2 \to 1^- \), \( y \to -\infty \); \( x^2 \to \infty \

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