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📰 Solution: Divide numerator and denominator by $ n^2 $: $ g(n) = \frac{3 + \frac{5}{n}}{1 + \frac{1}{n^2}} $. As $ n \to \infty $, $ \frac{5}{n} \to 0 $ and $ \frac{1}{n^2} \to 0 $. Thus, the limit is $ \frac{3}{1} = \boxed{3} $. 📰 Question: A civil engineer designs a triangular support beam with side lengths satisfying $ a + b = 10 $ and $ a^2 + b^2 = 58 $. Find the area of the triangle. 📰 Solution: Let $ a + b = 10 $ and $ a^2 + b^2 = 58 $. Compute $ (a + b)^2 = 100 = a^2 + 2ab + b^2 = 58 + 2ab $. Solve for $ ab $: $ 2ab = 42 \Rightarrow ab = 21 $. The area is $ \frac{1}{2}ab = \boxed{\frac{21}{2}} $. 📰 Business Loans No Documents 3136232 📰 Strange Brain Fog Chronic Fatiguecould It Be Your Homes Mold Poisoning You 5052393 📰 Star Trek Fleet Command Store 4631115 📰 Find The Derivative Of The Function Fx 4X3 9X2 6X 1 9183616 📰 Nova Southeastern University 33854 📰 Rob Mcelhenney 4358546 📰 5 The Hidden Crisis Investigating The Truth About Research Misconduct Haunting Universities 4832919 📰 Barrington Apartments 6210747 📰 Croquet Croquet Set 5316141 📰 Cheap Flighrs 1869609 📰 This Penny Is Worth 5 Million Heres Why Its Breaking Records 5673867 📰 Hotel Credit Card 8781884 📰 These Monthly Dividend Etfs Are Boosting Returnsheres The List You Cant Miss 1927414 📰 5 Terrifying Facts About Teen Pokies You Didnt Want To See Click Now 457621 📰 These Online Games Puzzle Strategy Secrets Will Make You Solve Challenges Faster Than Ever 7705255