Show that `f(x)=|x-3|` is continuous but not differentiable at `x=3.`

Explanation

To show that the function \( f(x) = |x - 3| \) is continuous but not differentiable at \( x = 3 \), we will follow these steps:

### Step 1: Check Continuity at \( x = 3 \)

To check if \( f(x) \) is continuous at \( x = 3 \), we need to verify that:

\[
\lim_{x \to 3^-} f(x) = \lim_{x \to 3^+} f(x) = f(3)
...