3 is a geometric representation
of the above mentioned facts Fig 5 3
Rationalised 2023-24
 MATHEMATICS
110
Example 10 Discuss the continuity of the function f defined by
f (x) =
2, if
1
2, if
1
x
x
x
x
+
≤

 −
>

Solution The function f is defined at all points of the real line Case 1 If c < 1, then f(c) = c + 2