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📰 In a study of language evolution, a linguist models the frequency of a particular phoneme's usage over time with the function \( f(t) = \frac{3t^2 - 2t + 1}{t^2 + 1} \). Determine the horizontal asymptote of \( f(t) \) as \( t \) approaches infinity. 📰 To find the horizontal asymptote of the function \( f(t) = \frac{3t^2 - 2t + 1}{t^2 + 1} \) as \( t \to \infty \), we compare the degrees of the polynomial in the numerator and the denominator. Both the numerator and denominator are degree 2 polynomials. The horizontal asymptote is determined by the ratio of the leading coefficients of the numerator and the denominator. 📰 The leading coefficient of the numerator \( 3t^2 \) is 3, and of the denominator \( t^2 \) is 1. Thus, the horizontal asymptote is \( y = \frac{3}{1} = 3 \). 📰 Can This Vise Grip Vise Crush Steel With One Grip Watch What Happens Next 3308635 📰 You Wont Believe What Jo Malone Candle Changed About Your Bedroom Vibe Forever 7073264 📰 Film With Emma Stone 8686422 📰 5 Feeling Rich Heres How To Redeem Vbucks Fast And Earn Extra Rewards 7468131 📰 Enterprise Lax 268010 📰 What Does Healthy Sperm Look Like 680226 📰 Nujabes Dj 4832780 📰 Apple New Apple Watch 4196595 📰 Danger Closer Than Expected Lexingtons Hazardous Site Caught By Fbi 4606007 📰 Bar Harbor Motel 8774262 📰 Abraham Lincoln Movie 9928920 📰 Chat Open Ai 2794406 📰 These Green Heels Are Changing Fashion Forever How Theyre Revolutionizing Style 7502194 📰 Best Value Vpn 6361373 📰 Vegas Bomb Shot 9445415