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The limit of the given expression as \( n \to \infty \) is \(-10\).

Would you like a detailed explanation of the steps? Also, here are some related questions to consider:

1. What is the general approach to finding limits involving exponential terms?
2. How does the dominance of exponential growth affect the limit in this case?
3. Can this limit be calculated using L'Hopital's Rule?
4. What would happen if the bases of the exponents were changed?
5. How can you confirm the result using numerical approximation?

**Tip:** When finding limits involving exponential terms, it's crucial to determine which terms grow the fastest as \( n \to \infty \).

Solve the limit of the expression: (3 * 7^n - 2 * 10^(2n)) / (2 * 10^(2n-1) + 3 * 7^(2n-1)) as n approaches infinity.

Learn how to solve the limit of the expression (3 * 7^n - 2 * 10^(2n)) / (2 * 10^(2n-1) + 3 * 7^(2n-1)) as n approaches infinity. Explore the key concepts of exponential growth and asymptotic behavior in limits. Suitable for university-level students.

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