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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: 📰 Samsung Shares Explodeis Now The Best Time To Invest Expert Analysis Inside 772337 📰 Stream Aniflix Now Endless Animated Fun Youve Been Searching For 5543659 📰 Chucky Images 602100 📰 Transform Your Property Portfolio Fastinside This Unbeatable 1031 Exchange 7825436 📰 You Wont Believe Whats Inside That Costco Sells For Contact Lenses 6717736 📰 Frontier Verizon 4711357 📰 Banks To Open Account 6322780 📰 A Civil Engineer Models The Stress Distribution On A Beam With Function Fx 6X3 36X2 54X For 0 Leq X Leq 5 Where Fx Is Force In Kn At Position X Meters What Is The Maximum Force On The Beam 6740004 📰 Sophie Rain Stuns In Stunning Nude That Shocked The Internet 6662141 📰 The Haven Apartments 3770686 📰 Youtube On Windows The Ultimate Guide Every Windows User Needs Its Game Changing 2693470 📰 Watch Grannys Purr Fect Cat Team Uncover Hidden Animated Adventures 3364195 📰 Master Index Index Match The Ultimate Trick Revealed To Boost Your Excel Skills Today 3230308 📰 From Lightspeed Roars To Viral Sensation The Chewbacca Sound That Exploded Online 3112640 📰 Fingerprint And Dna 9840614