If `f(x)=(|x-1|)/(x-1) , x!=0`, Examine the continuity

f(x)= {((|sin x|)/(x)",",x ne 0),(1",",x=0):} Examine the continuity of f(x), x= 0

f(x)= (x^(2)+1)/(x^(2)-1) and g(x)= tan x . Examine the continuity of (fog) (x).

Let f(x)={(1/(x+[x]),if xlt0),(-1,if xge0):} Examine the continuity of f(x) at x=0.

Let f(x)={(absx/x,if xne0),(0,if x=0):} Examine the continuity of f(x) at x=0.

Given f(x)={x^(2)-2x+3 for x 1 Examine the continuity and differentiability of the function f(x) at x=1

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

f(x)= {((1)/(e^(4x) + 1)",",x ne 0),(0",",x = 0):} Examine the continuity of f(x) at x= 0

Sketch the graph of f(x)=(|x|)/(x), f(0)=1. From the graph examine the continuity 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.

Examine the continuity of f(x) = {(|x-1|/(x-1), x ne 1),(0, x =1):} at x = 1