Question

Could someone help me with this example my teacher gave for l'hopital's rule.

Answer 1

\[\lim_{x \rightarrow 0} (\cos(x))^{1/x}\]

Answer 2

he took the ln of both sides and got this

Answer 3

\[\lim_{x \rightarrow 0} \frac{ \cos(x) }{ x }\]

Answer 4

were did the ln go?

Answer 5

shouldn't it be beside the cos?