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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: 📰 Fave Save Unlocked Top Secrets Thatll Make You Save Like Never Before 8095186 📰 Apply For Social Security Card Online 6216182 📰 Rochester Ford 6266264 📰 Dont Want To Give Up Share These Bet Starting Encouraging Bible Verses Now 1666033 📰 Millrose Properties Stock Soaringis This The Biggest Upward Trend Yet Find Out 5636531 📰 Best Dictionary 1201080 📰 316Th To Decimal This Simple Conversion Will Shock You 5639529 📰 Patric Gagne 2513620 📰 What Is A Money Market Mutual Fund 1833212 📰 Wells Fargo Bank Smithfield Va 320866 📰 Go Subtle Go Software Why Partial Balayage Is The Ultimate All Equal Trend 8535284 📰 How Many Sharknado Movies Are Lurking Behind The Storm You Wont Believe The Answer 6695358 📰 5Mods 9491935 📰 Unleash The Fear Top 7 Legendary Female Demon Names No Gamer Should Miss 5854865 📰 Cove Glen 3651581