Hence we may also rephrase  the definition of
continuity as follows: a function is continuous at x = c if the function is defined at
x = c and if the value of the function at x = c equals the limit of the function at
x = c If f is not continuous at c, we say f is discontinuous at c and c is called a point
of discontinuity of f Fig 5 2
Rationalised 2023-24
 MATHEMATICS
106
Example 1 Check the continuity of the function f given by f(x) = 2x + 3 at x = 1