Which of the following functions is continuous at x = 0 ?

Which of the following function is continuous at x = 0 ?

Which of the following function is not continuous at x = 0?

Which of the following functions are continuous at x=0? [Note: sgn x denotes signum function of x .]

Which of the following functions is not continues at zero? f(x)={(sinx/x,,x,ne,0),(1,,x,=,0):}

Which of the following functions is not continues at zero? f(x)=sinx .

Examine whether the following function is continuous at x = 0 . phi(x) = {:[|x|/x, when ,x ne 0],[0,when ,x = 0]:}

Determine, k if the following function is continuous at x = 0 f(x) = {{:((sin 3x)/(4x), x != 0),(k,x = 0):}

Show that the following functions are continuous at x = 0 : f(x)={{:(x"cos"1/x" when "xne0),(0" when "x=0):}

Show that the following function is continuous at x = 0: f(x) = x sin1.x, when x ne 0 f(0) = 0.