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Home » But observe: as \(v \to 1^+\), g(v) → ∞? Let’s test: - Abu Waleed Tea

But observe: as \(v \to 1^+\), g(v) → ∞? Let’s test: - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📝 Recent Posts

Question: A linguist is analyzing sentence structures and models the c...
Solution: Simplify the function:
f(n) = \frac{n^2 + 2n + 3}{n + 1}.
Perform polynomial division:
f(n) = n + 1 + \frac{2}{n + 1}.
Let $ x = n + 1 $, so $ x > 1 $, and $ f(n) = x + \frac{2}{x} $. Defin...
g'(x) = 1 - \frac{2}{x^2}.
Set $ g'(x) = 0 $:
- \frac{2}{x^2} = 0 \Rightarrow x^2 = 2 \Rightarrow x = \sqrt{2}.
Since $ g''(x) = \frac{4}{x^3} > 0 $ for $ x > 0 $, this is a minimum....

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