Show that for any positive integer n(a) lim x+ln xxn = 0 (b) lim x+xnln x = +.FOC
Chapter 3, Problem 46(choose chapter or problem)
Show that for any positive integer n
(a) \(\lim _{x \rightarrow+\infty} \frac{\ln x}{x^{n}}=0\)
(b) \(\lim _{x \rightarrow+\infty} \frac{x^{n}}{\ln x}=+\infty\)
Equation Transcription:
Text Transcription:.
lim _x right arrow + infinity ln x/x^n =0
lim _x right arrow + infinity x^n /ln x =+infinity
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