Continuity At a Point

Continuity in interval , Continuity at point function , Limit based continuity questions, Important points

Basic introduction || Continuity at interior point || Illustration

Examine the function f(x)=2x^(2)-5 for its continuity at the point x = 3 .

Basic & Continuity at Boundary point , illustration

Continuity in open & closed interval || Built in limit || Continuity at boundary points || Different illustration OF continuity

Define continuity of a function at a point.

A function f on R into itself is continuous at a point a in R.if f for each e>0 .there exists,delta>0 such that |f(x)-f(a)|

Continuity OF Composite Function || Single Point Continuity || Number OF points OF discontinuity