Let f(x) = x, x2 for –10 < x < 10, where [t] denotes the greatest integer function. Then the number of points of discontinuity of f is equal to ____
Ans : 8
- 5 < x2 < 5⇒ x2 = - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4Hence function is discontinues at = - 4, - 3, - 2, - 1, 1, 2, 3, 4Number of values is 8
Let f : R → R be defined asfx = x5sin1x + 5x2, x < 00, x = 0x5cos1x + λx2, x > 0The value of λ for which f''0 exists, is