+118608 I am not good at presenting these but I'll show you what I would do.
\(\displaystyle\lim_{x→0} (((1 + sinx)cotx −e)cotx)\\ =\displaystyle \lim_{x→0} \left[ \left[ (1 + 0)\frac{cosx}{sinx} −e\right]\frac{cosx}{sinx}\right]\\ =\displaystyle \lim_{x→0} \left[ \left[\frac{cosx}{sinx} −e\right]\frac{cosx}{sinx}\right]\\ \\~\\ \rightarrow+\infty\)
Maybe Heureka or someone some other mathematician may like to tidy up my presentation.
