https://file.aiquickdraw.com/mathbot/file/1727456269686ybq5t4ey.jpg

From the image, we have a function \( f(x) \) that seems to be in the form:

\[
f(x) = \frac{7 \sqrt{p(729 + x)} - 3}{\sqrt[3]{729 + qx} - 9}
\]

You are asking to apply **L'Hopital's Rule**, which is typically used when evaluating limits that result in an indeterminate form like \( \frac{0}{0} \) or \( \frac{\infty}{\infty} \).

Could you confirm the point where you want to apply L'Hopital’s Rule, possibly at \( x = 0 \) or another limit?

Learn how to apply L'Hopital's Rule to solve a limit involving a complex fractional function. This example covers indeterminate forms and requires differentiation techniques. Suitable for advanced calculus students.

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