Show that the function `f(x) ={:{((sin 3x)/(x)", "x ne 0),(1", " x= 0):},` is discontinuous at x=0.

Show that the function f(x)={{:(x/|x|",", " when ", x ne0),(1",", " when ", x =0):} is discontinuous at x=0

f(x)={{:((sin3x)/(x)",","when",x ne0 ),( 1",", "when",x=0):} is discontinuous atx =0.

If the function f(x) = {((sin 3x)/x, x ne 0),(k/x, x = 0):} is continuous at x = 0, then k =

The function f(x) = [{:(sin(ln |x|), x ne 0),(1, x=0):}

Show that the function f(x)={{:((|x-a|)/(x-1)", "x!=a),(1", "x=a):} is discontinuous at x=0 .

Show that the function f given by f(x)= {{:(x^3+3," if "x ne 0),(1," if "x=0):} is not continuous at x=0.

Show that the function f given by f(x)= {{:(x^3+3," if "x ne 0),(1," if "x=0):} is not continuous at x=0.

Show that the function f given by f(x)= {{:(x^3+3," if "x ne 0),(1," if "x=0):} is not continuous at x=0.

Show that the function f given by f(x) ={{:( x^(2)+5, if x ne 0), (3, if x = 0):} is not continuous at x=0

Show that the function f(x) given by f(x)={:{(x" sin "(1)/(x)", if "x!=0),(0" , if "x=0):} is continuous at x =0