- #1

- 533

- 1

## Main Question or Discussion Point

What's the most efficient way (other than just plotting it and eyeballing it) to show that

[tex]

\lim_{x\to 0} \frac{\ln (1-x) - \sin x}{1 - \cos^2 x}

[/tex]

does not exist?

[tex]

\lim_{x\to 0} \frac{\ln (1-x) - \sin x}{1 - \cos^2 x}

[/tex]

does not exist?