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A quantum computing cryptography expert is analyzing a security function \( M(v) = v - \frac{v^5}{5} \) for noise reduction. If \( m_n \) is defined by \( m_n = M\left(\frac{1}{n}\right) \), find the limit of \( m_n \) as \( n \to \infty \).
We evaluate the limit of \( m_n = M\left(\frac{1}{n}\right) = \frac{1}{n} - \frac{\left(\frac{1}{n}\right)^5}{5} \) as \( n \to \infty \).
Substitute into the function:

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