Continuity and Differentiability – Notes
Continuity of a Function
A function (x) is continuous at x = c, if (x) is defined at x = c and (x) =n (c).
If is not continuous at x = c, then we say is discontinuous at c, and c is called a point of discontinuity of .
A real function is said to be continuous, if it is continuous at every point in the domain .
Concept of Infinity
+ is a number larger than any given real number.
– is a number smaller than any given real number.