Home
Class 12
MATHS
The function f(x) = [x]^(2)-[x^2], (whe...

The function `f(x) = [x]^(2)-[x^2]`, (where [y] is the greastest interger less than or equal to y), is discontinuous at

A

all intergers

B

all intergers except 0 and 1

C

all intergers except 0

D

all intergers except 1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Competitive Thinking|63 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=[x^2] (where [y] is the greatest integer less than or equal to y ), is discontinuous at a. all integers b. all integers except 0 and 1 c. all integers except 0 d. all integers except 1

The function f(x)=x-[x]+cos x, where [x]= the greatest integer less than or equal to x is a

If f(x)=e^([cotx]) , where [y] represents the greatest integer less than or equal to y then

The function f(x)=(tan |pi[x-pi]|)/(1+[x]^(2)) , where [x] denotes the greatest integer less than or equal to x, is

The domain of the function f(x)=sqrt(x^(2)-[x]^(2)), where [x] is the greatest integer less than or equal to x, is R(b)[0,+oo](-oo,0)(d) none of these

The function f(x)=[x]^(2)-[x^(2)] is discontinuous at (where [gamma] is the greatest integer less than or equal to gamma) ,is discontinuous at

The domain of the function f(x) = sqrt((4-x^(2))/([x]+2)) where [x] denotes the greatest integer less than or equal to x,is

The domain of the function f(x)=cos^(-1)[secx] , where [x] denotes the greatest integer less than or equal to x, is