$\"\"$

Consider two functions $\"\"$ and $\"\"$ .

The function $\"\"$ , it might be discontinuous at $\"\"$ .

The function $\"\"$ is continuous at every value of $\"\"$ .

Therefore the function $\"\"$ and $\"\"$ are equal except at $\"\"$ .

$\"\"$

The function $\"\"$ and $\"\"$ agree $\"\"$ at all except at one point.