Check the points where the constant function `f(x) = k` is continuous.

Find the point at which the function f(x) = [x] is not continuous in (-1,4). ([x] is the largest function).

Determine the constant k, so that function f (x) is continuous at the indicated points : f(x)= {((x^2-3x+2)/(x-1),if,x,ne,1),(k,if,x,=,1):} at x=1.

Determine the constant k, so that function f (x} is continuous at the indicated points : f(x) {((x^2-2x-3)/(x+1),if,x,ne,-1),(k,if,x,=,-1):} at x=-1

Determine the constant k, so that function f (x} is continuous at the indicated points : f(x) {((x^2-9)/(x+1),if,x,ne,3),(k,if,x,=,3):} at x=3

The number of points at which the function f(x)=(1)/(x-[x]) is not continuous is

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 :

True or False : The function f(x) = |x-1| is a continuous function.

(a) Determine the value of k so that the following function f(x) is continous at x=0 f(x)={((sin2x)/(x)" , if "xne0),(k" , if "x=0):} (b) Determine k, if the following function is continuous at x=0: f(x)={((sin3x)/(4x)" , "xne0),(k" , "x=0):} (c) Determine k so that the following function f(x) is continuous at x=0 f(x)={((sin5x)/(3x)" , "xne0),(k" , "x=0):}

Check the continuity of the following functions: f(x) = x^2atx=0

In the following, determine the constant so that given function is continuous at indicated point: f(x) ={:{(3k-2x,whenx<1),(2k+1,whenxge1)atx=1