Question
Prove that$$\lim _{x \rightarrow \infty} \frac{\ln x}{x^{p}}=0$$for any number $\mathrm{p}>0 .$ This shows that the logarithmic func-tion approaches $\infty$ more slowly than any power of $\mathrm{x}$ .
Step 1
Step 1: We start with the given limit: $$\lim _{x \rightarrow \infty} \frac{\ln x}{x^{p}}$$ where $p>0$. Show more…
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