Home
Class 12
MATHS
If f(x)=sgn(cos 2x - 2 sin x + 3), where...

If `f(x)=sgn(cos 2x - 2 sin x + 3)`, where sgn () is the signum function, then f(x)

A

is continuous over its domain

B

has a missing point discontinuity

C

has isolated point discontinuity

D

has irremovable discontinuity

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

If f(x) = x^(3) sgn (x), then

If f(x)= |cos x- sin x| , then f'((pi)/(3)) is equal to …….

f:(2,4)rarr(1,3),f(x) = x - [(x)/2] , where [.] is a greatest integer function then f^(-1)(x) = ......

If f(x)=cos[pi/x] cos(pi/2(x-1)) ; where [x] is the greatest integer function of x ,then f(x) is continuous at :

If f(x)= x^(2) sin ((1)/(x)) , where x ne 0 , then the value of the function f at x=0, so that the function is continuous at x= 0, is

If f(x) = |cos x- sin x| then find f'((pi)/(6))

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

If f(x) = (sin 2x + A sin x + B cos x)/(x^(3)) is continuous at x = 0. Find the values of A and B. Also, find f(0)

Discuss the continuity and differentiability for f(x) = [sin x] when x in [0, 2pi] , where [*] denotes the greatest integer function x.