Home
Class 12
MATHS
The function f(x) = [x] cos((2x-1)/2) p...

The function `f(x) = [x] cos((2x-1)/2) pi` where [ ] denotes the greatest integer function, is discontinuous

A

continuous for every real x

B

discontinuous only at x = 0discontinuous only at non-zero integral values of x

C

continuous only at x = 0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The function f(x)=[x]cos((2x-1)/(2))pi where I l denotes the greatest integer function,is discontinuous

If f:R to R is function defined by f(x) = [x]^3 cos ((2x-1)/2)pi , where [x] denotes the greatest integer function, then f is :

The function f(x)=[x^(2)]+[-x]^(2) , where [.] denotes the greatest integer function, is

If f(x)=[2x], where [.] denotes the greatest integer function,then

The range of function f(x)=[[x]-x]+sin^(2)x , where [.] denotes the greatest integer function, is.

If f: R to R is function defined by f(x) = [x-1] cos ( (2x -1)/(2)) pi , where [.] denotes the greatest integer function , then f is :

Number of points of discontinuity of the function f(x)=[(6x)/(pi)]cos[(3x)/(pi)] where [y] denotes the greatest integer function less than or equal to y) in the interval [0,(pi)/(2)] is