Home
Class 12
MATHS
If f:RR to RR is a function defined by f...

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

A

continuous for every real x

B

discontinuous only at x =0

C

discontinuous only at non-zero integral values of x

D

continuous only at x=0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|12 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

If f:RR rarr RR is a function defined by f(x)=[x]cos((2x−1)/2)pi where [x] denotes the greatest integer function, then f is (1) continuous for every real x (2) discontinuous only at x=0 (3) discontinuous only at non-zero integral values of x (4) continuous only at x=0 .

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 :

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 :

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

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

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

If f(x)=([x])/(|x|),x ne 0 where [.] denotes the greatest integer function, then f'(1) is

Let f(x)=[x]cos ((pi)/([x+2])) where [ ] denotes the greatest integer function. Then, the domain of f is

If f(x)=([x])/(|x|), x ne 0 , where [.] denotes the greatest integer function, then f'(1) is