What is the limit of x divided by cot x?

The limit of ( \frac{x}{\cot x} ) as ( x ) approaches 0 can be evaluated using the fact that ( \cot x = \frac{\cos x}{\sin x} ). Therefore, we can rewrite the limit as ( \frac{x \sin x}{\cos x} ). As ( x ) approaches 0, ( \sin x ) approaches ( x ) and ( \cos x ) approaches 1. Thus, the limit is ( \lim_{x \to 0} \frac{x^2}{\cos x} = 0 ).