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📰 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} $. 📰 Question: A civil engineer calculates the stress on a beam with cross-section $ A = \frac{4}{x} - x^2 $, where $ x > 0 $. Find the maximum stress. 📰 Solution: Take derivative $ A'(x) = -\frac{4}{x^2} - 2x $. Set $ A'(x) = 0 $: $ -\frac{4}{x^2} - 2x = 0 \Rightarrow -4 - 2x^3 = 0 \Rightarrow x^3 = -2 $. No positive roots. Analyze behavior: as $ x \to 0^+ $, $ A \to \infty $; as $ x \to \infty $, $ A \to -\infty $. Thus, no maximum exists; the function increases without bound near $ x = 0 $. However, if constrained, recheck calculations. Correct approach: 📰 Get Inspired The Most Epic Knee Tattoos Every Fashionista Should Know 📰 Get Inspired Top Kohlrabi Recipes Guaranteed To Steal Your Heart 📰 Get Level 9 Sports Major Hypeheres How To Master The Game Like A Pro 📰 Get Lifesize Look Laminated Eyebrowsperfect For Instant Confidence Visual Perfection 📰 Get Lifetouch Free With This Exclusive Coupon Code Life Changing Savings Inside 📰 Get Lost In Kings Island The Exciting Map Youll Never Want To Stop Exploring 📰 Get Ready For Krazy Kat The Ultimate Feline Adventure 📰 Get Ready Krewe Shades Is Hereexclusive Looks You Locals Demand 📰 Get Ready These Are The Latest Gadgets Changing The World For Tech Lovers Forever 📰 Get Ready To Build Epic Lego Marvel Superheroes 2 Heres What Makes It Unmissable 📰 Get Ready To Color The Most Adorable Kitty Coloring Page You Cant Miss 📰 Get Ready To Crave More Kroger Cakes That Bake Perfection Break The Law Of Moderation 📰 Get Ready To Crybut Also Laugh Forever With The Most Powerful Laugh Now Cry Later Tattoo Design 📰 Get Ready To Explore Lefkosa Nicosia The Ultimate Guide To Cyprus Charming Heart 📰 Get Ready To Fall For These Light Summer Colors Everyones Raving About Their Beauty