Solved: Comparing Functions In Exercises 6974, use LHpitals Rule to determine the
Chapter 8, Problem 73(choose chapter or problem)
Comparing Functions In Exercises 69-74, use L’Hôpital’s Rule to determine the comparative rates of increase of the functions \(f(x)=x^{m}, \quad g(x)=e^{n x}\), and \(h(x)=(\ln x)^{n}\), where n > 0, m > 0, and \(x \rightarrow \infty\).
\(\lim _{x \rightarrow \infty} \frac{(\ln x)^{n}}{x^{m}}\)
Text Transcription:
f(x)=x^m, g(x)=e^nx
h(x)=(ln x)^n
x rightarrow infinity
lim_x rightarrow infinity (ln x)^n/x^m
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