Find $$\lim_{x\to0} \left(\cos x\right)^{\cot^2 x}$$
Sadly, I'm stuck trying to solve this. I'm assuming I have to use L'Hopital's rule, but I don't see how I can. It isn't homework or anything, just revising limits.
Any guidance is appreciated
Find $$\lim_{x\to0} \left(\cos x\right)^{\cot^2 x}$$
Sadly, I'm stuck trying to solve this. I'm assuming I have to use L'Hopital's rule, but I don't see how I can. It isn't homework or anything, just revising limits.
Any guidance is appreciated
HINT: your limit is $$e^{\lim_{x\to 0}\frac{\ln(cos(x))}{\tan(x)^2}}$$ and use L'Hopital