The function `f(x)=(4-x^2)/(4x-x^3)` (a) discontinuous at only one point (b) discontinuous exactly at two points (c) discontinuous exactly at three points (d) none of these

The function f(x) = (4-x^(2))/(4x-x^(3)) is discontinuous at

The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exactly one point (b) exactly two points (c) exactly three points (d) no point

Let f(x)={8^(1/x),x<0a[x],a in R-{0},xgeq0, (where [.] denotes the greatest integer function). Then (a) f(x) is Continuous only at a finite number of points (b)Discontinuous at a finite number of points. (c)Discontinuous at an infinite number of points. (d)Discontinuous at x=0

Let f(x)={x^2-4x+3,x<3 and x-4,xgeq3 }a n d g(x)={1,x<1 and x^2-x,1lt=x<4 and x-3,xgeq4 then function f(x)dotg(x) is discontinuous at (a)exactly 1 point (b) exactly 2 points (c)exactly 3 points (d) None of these

The function f(x)=sin^(-1)(cosx) is discontinuous at x=0 (b) continuous at x=0 (c) differentiable at x=0 (d) none of these

If f (x) has isolated point of discontinuity at x=a such that |f (x) | is continuous at x=a then :

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

Statement-1: The function f(x)=[x]+x^(2) is discontinuous at all integer points. Statement-2: The function g(x)=[x] has Z as the set of points of its discontinuous from left.

The function f(x)=tanx is discontinuous on the set

The functions g(x)=x-[x] is discontinuous at x =