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

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

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)=0, when x=0=(1)/(2)-x, when 0

Let , f(x)=1/xsin(x^2) when x ne0 =0 when x=0 Discuss the continuity and differentiability of f(x) at x=0.

If f(x)={{:((|sinx|)/(x),"when "xne0),(1,"when "x=0):} then examine the continuity of the function at x = 0.

Let f(x)={{:((1)/(x^(2))sin(x^(2))," when "xne0),(0," when " x=0):} Discuss the continuity of f (x) at x = 0 .

Draw the graph of the function " "y=f(x)={:{(|x|/x",","when "x ne 0),(0",","when "x = 0):} From the graph examine the continuity of f(x) at x = 0.

Sketch the graph of the function : " "y=f(x)={:{(-x",", "when "x le 0),(x",", "when "x gt0):} From the graph examine the continuity of f(x) at x = 0.

A function f(x) is defined as follows : f(x)=x," when "x gt0 =-x," when "x lt0 =-1," when "x=0 Sketch the graph of f(x) and from the graph examine its continuity at x = 0.

If f(x)={(sin3x)/(x), when x!=01,quad when x=0. Find whether f(x) is continuous at x=0