Discontinuity

Double Sided Limit: does not exist Function: not defined

\(f(x)=\frac{x^2+2}{x^2-4}\ where\ x=2\)

Double Sided Limit: does not exist Function: defined

"a ceiling function" \(f(x) = \left \lceil{x}\right \rceil\ where\ x=3\)

Double Sided Limit: exists Function: not defined

\(f(x)=\frac{x^6-1}{x^{10}-1}\ where\ x=1\)

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Division by 0/infinite discontinutiy => undefined

Hole => not defined

Sq. Root Functions => not defined when x={negative number}