Question

Evaluate LIM ---

Answer 1

\[(\lim_{h \rightarrow (\pi/3)}) \cos ((\pi/3)+h)-\cos \left( \pi/3 \right))/h\]

Answer 2

this is the derivative of cosine at
\[\frac{\pi}{3}\]

Answer 3

the derivative of cosine is - sine, and
\[-\sin(\frac{\pi}{3})=-\frac{\sqrt{3}}{2}\]

Answer 4

i really appreciate your help. can you please elaborate how you ended up to that answer.