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The result of the given expression is \( 27,217,403 \).

Would you like more details on how this result was obtained or explanations for each limit? 

Here are 5 related questions that might help expand your understanding:
1. How do limits work when approaching infinity compared to approaching zero?
2. What is the significance of using the natural logarithm and exponential functions in limits?
3. How does the behavior of polynomial functions change as \( x \) approaches infinity?
4. Why does the expression \(\lim_{x \to 0} \frac{e^{kx} - 1}{x}\) yield a finite result?
5. What are some common techniques for evaluating more complex limits?

**Tip**: When solving limits involving logarithmic or exponential expressions, L'Hopital's Rule is often a useful method for indeterminate forms like \(\frac{0}{0}\) or \(\frac{\infty}{\infty}\).

Evaluate the given expression: \( \left( \lim_{{x \to \infty}} \frac{7x^3 + 8x}{1x^3} \right)^9 - \left( \lim_{{x \to 0}} \frac{- \ln(1 + 6(e^{-x} - 1))}{x} \right)^9 - \lim_{{x \to 0}} \frac{e^{3058508x} - 1}{x} \)

Learn how to evaluate a complex expression involving limits, logarithms, and exponential functions. This problem uses key concepts such as L'Hopital's Rule and limit laws. Suitable for advanced calculus students.

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