Home
Class 12
MATHS
Which of the following function are not ...

Which of the following function are not periodic (where [.] denotes greatest integer function:
`f(x)=sinsqrt(x)`

A

`f(x) = sgn (e^(-x))`

B

`f(x) = {{:(" 1 if x is a national number ") , (" 0 if x is an irrational number " ):}`

C

`f (x) = sqrt((8)/(1 + cos x) + (8)/(1 - cos x))`

D

`f(x) = [x + (1)/(2)] + [x - (1)/(2)] + 2[-x]`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    MOTION|Exercise Exercise - 3|119 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 4 Level-I|10 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 2 (Level-I)|33 Videos

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos

  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos

Similar Questions

Explore conceptually related problems

Which of the following function are not periodic (where [.] denotes greatest integer function: f(x)=x+sinx

Which of the following function is not periodic, where [.] denotes greatest integer function

Which of the following function are not periodic (where [.] denotes greatest integer function: f(x)=[sin 3x]+|cos 6x|

Which of the following functions are defined for all x in R ? (Where [.] = denotes greatest integer function)

Find the periods (if periodic) of the following functions, where [.] denotes the greatest integer function f(x)=(abs(sinx+cosx))/(abs(sinx)+abs(cosx))

The function,f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

Find the period of the following functions if they are periodic: h(x)=cos x+x-[x] where [.] denotes the greatest integer function.

The period of 6x-[6x] is (where [ ] denotes the greatest integer function)

The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greatest integer function):