Evaluate `lim_(xtooo) (log_(e)x)/(x)`

Explanation

To evaluate the limit \(\lim_{x \to \infty} \frac{\log_e x}{x}\), we can follow these steps:

### Step 1: Identify the form of the limit
As \(x\) approaches infinity, both the numerator \(\log_e x\) and the denominator \(x\) approach infinity. This gives us an \(\frac{\infty}{\infty}\) indeterminate form.

**Hint:** Check the behavior of both the numerator and denominator as \(x\) approaches infinity.

### Step 2: Apply L'Hôpital's Rule
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