Show that the function f(x)=|x-2| is continuous but not differentiable at x=2.

Explanation

To show that the function \( f(x) = |x - 2| \) is continuous but not differentiable at \( x = 2 \), we will follow these steps:

### Step 1: Define the function piecewise
The function \( f(x) = |x - 2| \) can be expressed as:
\[
f(x) =
\begin{cases}
x - 2 & \text{if } x \geq 2 \\
...