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Home » Cross-multiply: \( x(y - 1) = 2y + 3 \). - AMAZONAWS

Cross-multiply: \( x(y - 1) = 2y + 3 \). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 #### \(x - 4\)

📌 A function \(f(x)\) is defined as \(f(x) = rac{x^2 - 4}{x - 2}\). What is \(\lim_{x o 2} f(x)\)?

📌 Factor numerator: \(x^2 - 4 = (x - 2)(x + 2)\).

📌 So \(f(x) = rac{(x - 2)(x + 2)}{x - 2} = x + 2\) for \(x

📌 Then \(\lim_{x o 2} f(x) = 2 + 2 = 4\).

📌 Find the sum of the first 8 terms of the arithmetic sequence with first term 5 and common difference 3.

📌 Formula: \(S_n = rac{n}{2}(2a + (n-1)d)\).

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