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

Given , f(x)={{:((sin5x)/(3x),"when "xne0),((3)/(5),"when "x=0):} Examine the cotinuity 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.

A function phi(x) is defined as follows: phi(x)={{:((tan4x)/(5x)," when " xne0),((5)/(4)," when "x=0):} Examine the cotinuity of phi(x) 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 .

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.

If f(x)={(x"sin"(1)/(x),"when "x ne 0),(0,"when "x =0):} then at x = 0, the function f(x) is -

A function f (x) is defined as followes: f(x)={{:(xsin.(1)/(x),"when " xne0),(0,"when " x=0):} Show that f (x) is continuous at x =0 .

If f(x)={{:(x+sinx,"when "xlt0),(0,"when "xge0):} examine whether f(x) is continuous at x = 0.

If the function f(x)={{:((1-cos(ax))/(x^2)," when "xne0),(1," when "x=0):} be continuous at x=0, then find the value of a.