Question

Please help me find the following limit (click to see) using L'Hopital's rule.

Answer 1

\[\lim_{x \rightarrow 0^+}[tanx \times lnx]\]

Answer 2

\[\lim_{x \rightarrow 0^+}\frac{ lnx }{ cotx}\]

Answer 3

Am i on the right path with using cotx in the denominator? Is this still in an indeterminate form? Can I use l'hopital's rule again?