Question

what is lim(theta cos theta) as theta approaches zero?

Answer 1

you can directly substitute theta = 0 and find the limit.

Answer 2

\[
\lim_{\theta \rightarrow 0}(\theta \cos(\theta)) =
\lim_{\theta \rightarrow 0}(\theta ) *
\lim_{\theta \rightarrow 0}(\cos(\theta)) = 0 * 1 = 0
\]