Question
If $f(x) = \begin{cases} \frac{\log x}{x-1} & \text{if } x \neq 1 \\ k & \text{if } x = 1 \end{cases}$ is continuous at $x = 1$, then the value of $k$ is...
If $f(x) = \begin{cases} \frac{\log x}{x-1} & \text{if } x \neq 1 \\ k & \text{if } x = 1 \end{cases}$ is continuous at $x = 1$, then the value of $k$ is...