Question
Question: A point where function ƒ(x) is not continuous where ƒ(x) = [sin [x]] in (0, 2π) [.] denotes greatest...
A point where function ƒ(x) is not continuous where ƒ(x) = [sin [x]] in (0, 2π) [.] denotes greatest integer ≤ x is –
A
(3, 0)
B
(2, 0)
C
(1, 0)
D
None of these
Answer
None of these
Explanation
Solution
For 0 ≤ x < 1, (x) = [sin x] = 0
1 ≤ x < 2, f(x) = [sin 1] = 0
2 ≤ x < 3, f(x) = [sin 2] = 0
3 ≤ x < 4, f(x) = [sin 3] = 0
Hence there is discontinuity at point (4, –1).