Question
Evaluate $\lim _{x \rightarrow 0+} \frac{\log x}{x}$. (Remember: in these notes, $\log$ means logarithm base $e$.)
Step 1
As \( x \rightarrow 0^+ \), \(\log x \rightarrow -\infty\) and \(x \rightarrow 0^+\). Therefore, the expression \(\frac{\log x}{x}\) is of the form \(\frac{-\infty}{0^+}\), which suggests that the limit might be \(-\infty\). Show more…
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