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Home » \( 9(z + \frac83) = 9z + 24 \) - Tacotoon

\( 9(z + \frac83) = 9z + 24 \) - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Substitute into the function:

📌 m_n = \frac{1}{n} - \frac{1}{5n^5}

📌 Take the limit as \( n \to \infty \):

📌 \lim_{n \to \infty} \left( \frac{1}{n} - \frac{1}{5n^5} \right) = \lim_{n \to \infty} \frac{1}{n} - \lim_{n \to \infty} \frac{1}{5n^5}

📌 Both terms approach 0:

📌 \lim_{n \to \infty} \frac{1}{n} = 0 \quad \text{and} \quad \lim_{n \to \infty} \frac{1}{5n^5} = 0

📌 \lim_{n \to \infty} m_n = 0 - 0 = 0

📌 The limit of \( m_n \) as \( n \to \infty \) is \(\boxed{0}\).

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