lim x xm enx
Chapter 8, Problem 78(choose chapter or problem)
Comparing Functions In Exercises 73–78, use L’Hôpital’s Rule to determine the comparative rates of increase of the functions \(f(x)=x^{m}\), \(g(x)=e^{n x}\), and \(h(x)=(\ln x)^{n}\), where n > 0, m > 0, \(x \rightarrow \infty\).
\(\lim _{x \rightarrow \infty} \frac{x^{m}}{e^{n x}}\)
Text Transcription:
f(x)=x^m
g(x)=e^n x
h(x=ln x^n
x rightarrow infty
lim _x rightarrow infty frac x^m e^n x
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