Let `f(x)=(x^2)sinpix,x` in R, the number of points in the interval (0,3] at which the function is discontinuous is.....

The number of points at which the function f(x) = 1/ (log |2x|) is discontinuous is

The number of points at which the function f(x)=(1)/(log|x|) is discontinuous is

The number of point (s) at which the function f(x) =(1)/(x-[x]) is discontinuous is/are :

Let f(x)=[x^3 - 3] , where [.] is the greatest integer function, then the number of points in the interval (1,2) where function is discontinuous is (A) 4 (B) 5 (C) 6 (D) 7

Find the number of integers lying in the interval (0,4) where the function f(x)=(lim)_(n->oo)(cos( pix/2))^(2n) is discontinuous

Consider f, g and h be three real valued function defined on R. Let f(x)=sin3x+cosx,g(x)=cos3x+sinx and h(x)=f^(2)(x)+g^(2)(x). Then, The length of a longest interval in which the function h(x) is increasing, is

Consider f, g and h be three real valued function defined on R. Let f(x)=sin3x+cosx,g(x)=cos3x+sinx and h(x)=f^(2)(x)+g^(2)(x). Then, The length of a longest interval in which the function g=h(x) is increasing, is

Let f be a composite function.of x defined by f(u)=(1)/(u^(3)-6u^(2)+11u-6) where u(x)=(1)/(x) .Then the number of points x where f is discontinuous is

The set of points of discontinuity of the function f(x)=(1)/(log|x|),is

Let f:[0,1] rarr R be a function.such that f(0)=f(1)=0 and f''(x)+f(x) ge e^x for all x in [0,1] .If the fucntion f(x)e^(-x) assumes its minimum in the interval [0,1] at x=1/4 which of the following is true ?