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Home » f_\min = 1 - rac916 = rac716 - Dachbleche24

f_\min = 1 - rac916 = rac716 - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 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: \(S_n = rac{n}{2}(2a + (n-1)d)\).

📌 \(n = 8\), \(a = 5\), \(d = 3\).

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