Home
Class 12
MATHS
If n = any integer , show that the funct...

If n = any integer , show that the function `f(x)=[x]+[-x]` has removable discontinuity at x=n , here [x] denotes greatest integer function.

Text Solution

Verified by Experts

The correct Answer is:
Therefore ,f (x) has removable discontinuity at x = n .
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise EXERCISE 2A (Multiple Choice Type questions)|6 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise EXERCISE 2A (Very short Answer Type Questions)|16 Videos

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS(Multiple Corrrect Answer type)|11 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2016)|3 Videos

Similar Questions

Explore conceptually related problems

Show that the function g(x)=x-[x] is discontinuous at all integral points . Here [x] denotes the greatest integer function.

The value of int_0^1.5 [x^2] dx is : where [x] denotes greatest integer function.

Draw the graph of y=[|x|] , where [.] denotes the greatest integer function.

draw the graph of f(x)=x+[x] , [.] denotes greatest integer function.

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

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )

If [x+[2x]] lt3 , where [.] denotes the greatest integer function, then x is

Number of solutions for x^2-2-2[x]=0 , (where[.] denotes greatest integer function is

The greatest integer function f(x)=[x] is -

The right hand derivative of f(x) = [x] tanpix at x = 7 is (where [.] denotes the greatest integer function)