Word Count : 304

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We are asked to examine the continuity and differentiability of the function [ f(x) = \begin{cases} |x-5|, & x \neq 5 \ 0, & x = 5 \end{cases} ] at (x = 5). Let’s go step by step. --- Step 1: Check continuity at (x = 5) A function is continuous at (x = 5) if [ \lim_{x \to 5} _____ ________ ________ ______ ______ _____ _____ __________ __________ __________ _________ ______.
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