Question: Find the following limits if the limit is a finite number, \(\infty\), or \(-\infty\). Otherwise, show the limit does not exist.

1. \(\lim _{x \rightarrow \infty} \frac{x^{2}}{\ln x}\)
2. \(\lim _{x \rightarrow 0^{+}} \cot 7 x \ln (1+5 x)\)
3. \(\lim _{x \rightarrow \infty}\left(e^{3 x}-1\right)^{1 / x}\)
4. \(\lim _{x \rightarrow 0} \frac{\cos 3 x+2 x^{2}-1}{x^{2}}\)

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