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lighthouse lodge & cottages pacific grove ca 93950 - GetMeFoodie

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 \[ G(t) = 3t - 1 + \frac{2}{t + 1} \]

📌 As \( t \to \infty \), the term \( \frac{2}{t + 1} \to 0 \), so:

📌 \[ G(t) \to 3t - 1 \]

📌 This grows without bound, so there is no horizontal asymptote.

📌 However, the **slant asymptote** is the line \( y = 3t - 1 \), but since the question asks for the horizontal asymptote, we conclude:

📌 There is **no** horizontal asymptote.

📌 But if interpreted as the long-term behavior, the function behaves like \( 3t - 1 \), so the horizontal asymptote does not exist. However, in some contexts, "horizontal asymptote" is misused.

📌 But strictly:

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