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

Prove that the function f(x)={(x)/(|x|+2x^(2)),x!=0 and k,x=0 remains discontinuous at x=0, regardless the choice of k

Prove that the function f(x)={(x)/(|x|+2x^(2)),quad x!=0k,quad x=0 remains discontinuous at x=0, regardless the choice of k.

If f(x)={sin((1)/(x)),x!=00,x=0 then it is discontinuous at-

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^2sin(1/x),if,x!=0),(0,if,x=0)) is differentiable at x=0 and f'(0)=0

Prove that f(x)={(x-|x|)/(x)quad ,quad x!=02quad ,quad x=0 is discontinuous at x=0

Show that f(x)={(x-|x|)/(2),quad when x!=02,quad when x=0 is discontinuous at x=0 .

If f(x)={[x^(3)+3:x!=0, is discontinuous at

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

A: The functions f(x)=(1+cos^(3)x)/(x^(2))x!=0:f(0)=-(3)/(2) is continuous at x=0R: A function is continuous at x=a if Lt_(x rarr a)f(x)=f(a)