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## Main Question or Discussion Point

Suppose there is a limit

##\lim_{n \to \infty} \frac{n^{1.74}}{n \times (\log n)^9}##

Taking logs both on numerator and denominator

##=\lim_{n \to \infty} \frac{1.74 \times \log n}{\log n + 9 \log \log n}##

What can we say about the limit as n approaches ##\infty##

##\lim_{n \to \infty} \frac{n^{1.74}}{n \times (\log n)^9}##

Taking logs both on numerator and denominator

##=\lim_{n \to \infty} \frac{1.74 \times \log n}{\log n + 9 \log \log n}##

What can we say about the limit as n approaches ##\infty##