`sgn(x)=|x|/x=0` when `x=0`

If f(x)=sgn(x)={(|x|)/x,x!=0, 0, x=0 and g(x)=f(f(x)), then at x=0,g(x) is

If f(x) = {(|sinx|/x, when x=0),(1, when x!=0):} then examine the continuity of the function at x=0.

If f(x)=sgn(x)={(|x|)/(x),x!=0,0,x=0 and g(x)=f(f(x)) then at x=0,g(x) is

Prove that, q(x) = {(|x|/x, when x ne 0),(0, when x = 0):} is discontinuous at x = 0.

Draw the graph of the signum function f(x)={{:(|x|/x, " when ", x ne0),(0," when ", x=0):}

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

If f(x)=-x, when x 0=0, when x>0 then test the continuity of f(x) at x=0

Is f(x)=(1+x)^((1)/(x)), when x!=0=e, when x=0 continuous at x=0?

Which of the following statements is incorrect a)xsgn x = |x| b)|x| sgn x = x c)x(sgn x) (sgn x) = x d) |x| (sgn x)^3 = |x|

Show that the function f(x)={x sin((1)/(x)) when x!=0;=0, when x=0 is continuous butnot differentiable at x=0