Home
Class 12
MATHS
The function f(x)=[x], where [x] denotes...

The function `f(x)=[x],` where `[x]` denotes the greatest integer function,is continuous at

A

continuous everywhere

B

continuous at integer points only

C

continuous at non-integer points only

D

nowhere continuous

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

f(x)=[sinx] where [.] denotest the greatest integer function is continuous at:

The function f(x)=x-[x], where | denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only ( continuous at non- integer points only (d) differentiable everywhere

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

The function f(x) = [x], where [x] denotes the greatest integer le x , is

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

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

f(x)=log(x-[x]), which [,] denotes the greatest integer function.

The points where the function f(x)=[x]+|1-x|,-1

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

The range of the function f(x) =[sinx+cosx] (where [x] denotes the greatest integer function) is f(x) in :