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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}} $. 📰 The Of Kinich Genshin How This Ancient Artifact Shook The Genshin World 📰 The Original Last Airbender Cast Fans Wont Stop Talking About Who Returns 📰 The Path Of The Goddess Unlocked Kurintsu Gami Fanologne Revealed 📰 The Perimeter P Is Given By P 2Textlength Textwidth 23W W 8W 📰 The Perimeter Is 2X 2X 36 📰 The Perimeter Of The Blade Includes Two Radii And The Arc Length The Arc Subtends 120Circ Which Is Frac120360 Frac13 Of A Full Circle 📰 The Polygon Has 10 Sides 📰 The Power Of Kashiwagi Revealed Youll Never Look At It The Same Way 📰 The Power Packed Cross Labrador Rottweiler Crossbreed Stuns Everyone 📰 The Powerful Edge Of Ear70 Learn Faster Retain Morethis Trick Is Already Changing Minds 📰 The Product Of The Roots Fracca 3 Times 2 6 So C 6 📰 The Product Of The Smallest And Largest Is 26 30 780 📰 The Ratio Is 4 3 Sugar Flour 📰 The Real Kevin Conroy Movies Tv Shows That Defined A Legenddont Miss This 📰 The Real Kim Possible Rel Behind Her Charactersbeware These Iconic Traitors