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Home » The distinct prime factors are \(2\), \(3\), and \(7\). - Dachbleche24

The distinct prime factors are \(2\), \(3\), and \(7\). - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Evaluate the limit \( \lim_{x \to 2} \frac{x^2 - 4}{x - 2} \).
\( \frac{(x - 2)(x + 2)}{x - 2} \)
Cancel \( x - 2 \):
\( \lim_{x \to 2} (x + 2) = 4 \)
If \( \sin(\theta) = \frac{3}{5} \) and \( \theta \) is in the first q...
Use \( \sin^2(\theta) + \cos^2(\theta) = 1 \):
\( \left(\frac{3}{5}\right)^2 + \cos^2(\theta) = 1 \)
\( \frac{9}{25} + \cos^2(\theta) = 1 \)
\( \cos^2(\theta) = \frac{16}{25} \)
\( \cos(\theta) = \frac{4}{5} \) (positive in first quadrant)

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