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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: 📰 Gog Galaxy Final Reveal Inside The Epic Adventure Every Gamer Deserves To See 6026425 📰 Long Care Insurance The Ultimate Shield Against Rising Care Expenses 9024592 📰 Santander Money Market Rates 231732 📰 Is Fortnite Down On Playstation 2658221 📰 Roblox Shut Down 3117539 📰 Loop Video 5336471 📰 Pulp Menu 3286231 📰 Breaking Yahoo Finance Now Live On Tvthis Is Your Financial Feed Like Never Before 1147387 📰 Meaning For Rendezvous 5474039 📰 Us Health Dept Shock Inside The Secret Report Thats Changing How Americans Access Care 1426582 📰 3 Upgrade To Hepa Medical Air Purifiersdoctors Say This Reduces Infections By 90 1238514 📰 Its Insane How Many Episodes Are In This Massive Series Find Out 1521603 📰 Uclas My Health Program The Proven Secrets To Better Health You Need Now 7561290 📰 Rainbow 6 Siege 2 4721748 📰 Solve The Witness Puzzle Before Its Too Lateyou Bet 3396638