Word Count : 335

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We are given the function \( f(x) \) defined as follows: \[ f(x) = \begin{cases} |x - \frac{2}{3}| & \text{if } x \neq \frac{2}{3} \\ 0 & \text{if } x = \frac{2}{3} \end{cases} \] We are tasked with discussing its continuity and differentiability at \( x = \frac{2}{3} \). ### Continuity at \( x = \frac{2}{3} \) A function is continuous at a point \( c \) _____ ____ ______ ____ ___ _______ _______ __________ ______.
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