If `f(x)``= {sin(1/ x), x!=0 0, x=0` then it is discontinuous at-

The function f(x)={[(|x|)/(x) , if x!=0],[0, if x=0 is discontinuous at

Show that the function f(x) = x cos (1//x), x ne 0 f(0) = 1 is discontinuous at x = 0.

Prove that f(x)={((x-|x|)/x, x!=0),( 2 , x=0):} is discontinuous at x=0 .

Show that f(x) = x sin ((1)/(x)), x ne 0 , f(0) = 0 is continuous at x = 0

2.If f(x)={[x^(3)+3:x!=0, and 1 : x=0 " is discontinuous at : -

f(x)= [sin x], x in [0, 2pi] At which points, f(x) is discontinuous?

Show that the function f(x) given by f(x)={((e^(1/x)-1)/(e^(1/x)+1), when x!=0), (0, when x=0):} is discontinuous at x=0 .

If f(x)=(e^((1)/(x))-1)/(1+e^((1)/(x))) when x!=0=0, when x=0 show that f(x) is discontinuous at x=0

Is f defined by f(x) = {((sin 2x)/x, if x != 0),(1, if x = 0):} continuous at 0?