Answer
$\lim\limits_{x \to 1}\cos\dfrac{\pi x}{3}=\dfrac{1}{2}$
Work Step by Step
$\lim\limits_{x \to 1}\cos\dfrac{\pi x}{3}$
Apply direct substitution to evaluate the limit:
$\lim\limits_{x \to 1}\cos\dfrac{\pi x}{3}=\cos\Big(\dfrac{\pi}{3}\Big)=\dfrac{1}{2}$
