Word Count : 304

---

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} _______ _____ _____ _______ _______ _____ __________ ________ ___ _____.
______ ____ ________ ____ _____ ________.
______ ________ _________ ____ ___ _______ _______ _________ _________ ______ ____.
____ __________ ______ _________ _______ _________ _________ ________ ____ _____ ______ ____.
___ _____ _______ _____ __________ ______ ______ _______ _________ __________.
____ ________ ____ ______ _______ ____ ________ ______ _______.
____ ________ __________ ______ ________ ________ ______ _____ _______.
_______ ___ _________ ____ ___ ______ _________ __________ ________.
______ ________ ______ __________ _________ _______ __________.
_______ ________ ________ _______ ________ ______.
_______ _______ ___ ______ _________ __________.
_______ ________ _________ _______ _____.
__________ ________ _____ _________ ______ _______ ___ ___ ___ ______ ______ ________.
____ _____ ____ ___ ______ _________ _________ ____ _______ ________.
________ ___ _______ _________ __________ _______ ___ ______ ______.
___ _____ ______ __________ ________ _______ __________ ____ ___ __________ ________.
_______ ___ ______ __________ _____.
_______ ______ _____ ___ _________.
_________ ___ ________ _____ __________ _______ ___ ______ ____ __________.
_________ ___ ___ __________ __________ ______ ________.
_______ ______ _____ _____ _____ _________ ________ _______ ____ _______ _______.
___ _____ ____ ______ _____ ________ ___ ________.
________ ________ __________ ______ ________ __________ _______ __________ ___ _________ _________.
________ ______ ______ ________ ________ _____.
_______ __________ ___ _________ _____ ______ ____ _______ ________ ________.
_________ ________ ____ ________ ________ ____ ____ ____.
________ __________ _________ _______ _______ ________ _________ _______ ________ __________ ____.
___ ____ ____ ____ _________ ______ ______ __________ ______ __________.
Get Full Answer on WhatsApp