I want to calculate the limit for the following function.
$$\lim_{n\to+\infty} \frac{(3/2)^n}{(\log n)^{\log n}}$$
I have tried it using L'Hospital use but the result of differentiation is much more complicated.
Answer
Hint:
$$
\frac{(3/2)^x}{(\log x)^{\log x}}=e^{x\log(1.5)-\log(x)\log\log(x)}
$$
No comments:
Post a Comment