Home
Class 12
MATHS
Let f(x)=|(x+1/2)[x]|,when -2 leq x le...

Let `f(x)=|(x+1/2)[x]|`,when `-2 leq x leq 2|`. where `[.]` represents greatest integer function. Then

A

f(x) is continous at x=2

B

f(x) is continous at x=1

C

f(x) is continous at `x=-1`

D

f(x) is continous at x=0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    MOTION|Exercise EXERCISE -1(SECTION - C CLASSIFICATION OF DISCONTINUITY)|12 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE -1(SECTION - D: IVT)|1 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE -1(SECTION -A CONTINUITY OF FUNCTION AT A POINT)|5 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=|(x+(1)/(2))[x]| when -2<=x<=2| .where [.] represents greatest integer function.Then

Let [.] represent the greatest integer function and f(x)=[tan^(2)x] then :

Let f(x) = [x] and [] represents the greatest integer function, then

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

Let f(x)=(x^(2)+2)/([x]),1 le x le3 , where [.] is the greatest integer function. Then the least value of f(x) is

Let f(x) = [x]^(2) + [x+1] - 3 , where [.] denotes the greatest integer function. Then

If f(x)=|x-1|.([x]=[-x]), then (where [.] represents greatest integer function)

If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represent the greatest integer function)