Continuity

Continuity explained with clear definitions, conditions at a point, graphical understanding, and simple examples for calculus basics.

1.Definition of Continuity

Meaning of continuity, the limit-based definition, and simple examples showing smooth behaviour of functions.

2.Types of Discontinuity

Different types of discontinuities explained with intuition, limit behaviour, and clear examples.

3.Algebra of Continuous Functions

How continuity behaves under addition, subtraction, multiplication, division, and composition of functions.

4.Continuity of Standard Functions

Continuity of standard functions explained with their domains and simple examples.

5.Continuity at a Point

Meaning of continuity at a point using limits, the three required conditions, and simple examples.