Home
Class 11
MATHS
If f:RR⃗ rarr RR is a function defined b...

If `f:RR⃗ rarr RR` is a function defined by `f(x)=[x]cos((2x−1)/2)pi` where `[x]` denotes the greatest integer function, then `f` is (1) continuous for every real x (2) discontinuous only at `x=0` (3) discontinuous only at non-zero integral values of x (4) continuous only at `x=0`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If f: R rarr R is a function defined by f(x)=[x]cos((2x-1)/2)pi , where [x] denotes the greatest integer function, then f is

If f: R rarr R is a function defined by: f(x) = [x] cos((2x-1)/2)pi , where [x] denotes the greatest integer function, then 'f' is

If f:RR to RR is a function defined by f(x)=[x]cos((2x-1)/(2))pi , where [x] denotes the greatest integer function, then f is-

If f : R rarr R is a function defined by : f(x) = [x] c cos ((2x - 1)/(2))pi, where [x] denotes the greatest integer function, then 'f' is :

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is discontinuous

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is discontinuous

The function f(x)=[x]cos((2x-1)/(2))pi where I l denotes the greatest integer function,is discontinuous