Continuity at a point for JEE

Formula

\[f\text{ is continuous at }x=a\iff \lim_{x\to a}f(x)=f(a)\]

Variables: \(a\) is a point in domain of \(f\).

Conditions: Equivalent to existence of \(f(a)\) and equality of left and right limits with it.

Checking continuity of elementary and piecewise functions.