CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Determine

\displaystyle \lim_{h\to 0} \dfrac{\sin\left(\tfrac{\pi}{3}+h\right)-\sin\left(\tfrac{\pi}{3}\right)}{h}

. (a)

\dfrac{\sqrt{3}}{2}

(b)

0

(c)

\dfrac{1}{2}

(d)

-\dfrac{1}{2}