If [.] denotes the greatest integer function, then fundamental period of the function f(x)=1−2(x−[x]) is
A
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
−12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
f(x) is non-periodic
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C1 f(x)=1−2(x−[x]) ⇒f(x)=1−2{x}(∵x−[x]={x})
Since, fundamental period of {x} is 1,
hence, fundamental period of f(x)=1−2{x} is also 1.