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📰 Solution: Factor $ 2x^2 - 7x + 3 $. Find roots: $ x = \frac{7 \pm \sqrt{49 - 24}}{4} = \frac{7 \pm 5}{4} \Rightarrow x = 3 $ or $ x = \frac{1}{2} $. The quadratic opens upwards, so the inequality holds between the roots: $ \boxed{\left( \frac{1}{2}, 3 \right)} $. 📰 Question: A bioinformatician studies a DNA sequence where the probability of a mutation at position $ n $ is $ p_n = \frac{n}{n^3 + 2n} $. Simplify $ p_n $ and find its limit as $ n \to \infty $. 📰 Solution: Simplify $ p_n = \frac{n}{n(n^2 + 2)} = \frac{1}{n^2 + 2} $. As $ n \to \infty $, $ n^2 + 2 \to \infty $, so $ \lim_{n \to \infty} p_n = \boxed{0} $. 📰 Estelle Reiner 8938581 📰 Little Disasters Series 6338411 📰 Difference Detection Challenge Spot The Secret Change Between These Imagesare You Smart Enough 934186 📰 Fire An Award Winning Story On Marguerite Rubelyoull Never Guess Her Untold Inspiration 93279 📰 College Student Deported Honduras 3692615 📰 Park Meadows Apartments 1964010 📰 What Are Rising Minds Seeing The Heat Map That Predicts Stock Storms Ahead 9755743 📰 Profitment Secrets No One Talks About Will Change Your Life 7082341 📰 This Lip Piercing Was The Start Of A Mining Adventure Most Never See 1825298 📰 Barack Obamas Hidden Net Worth Revealed500 Million Secrets You Wont Believe 6896742 📰 Barcelona To Paris 2814865 📰 Max Roths 2025 Breakthrough The Untold Contribution That Will Redefine The Futureyou Wont Believe It 7824071 📰 Online Robux Gift Card 5274875 📰 Discover Secrets Hidden Between Arizonas Safest National Parks 7648306 📰 Dodsafe 8173042