" 16.If "f(x)={[(x-4)/(|x-4|)+a," if "quad x<4],[a+b," if "quad x=4quad " is continuous at "x=4," find the values of "a" and "b],[(x-4)/(|x-4|)+b," if "quad x>4]

Find the values of a and b such that the function f defined by f(x) = {((x-4)/(|x-4|) +a ",","if "x lt 4 ),(a+b,"if " x=4),((x-4)/(|x-4|)+b,"if " x gt 4):} is a continuous function at x= 4

If f(x)={(x-4)/(|x-4|)+a ,\ \ \ if\ x 4 is continuous at x=4 , find a ,\ b .

Find the values of a and b such that the function f defined by f(x)={:{((x-4)/(|x-4|)+a", if "xlt4),(a+b", if "x=4" is a"),((x-4)/(|x-4|)+b", if "xgt4):} continuous function at x=4 .

Find the values of a and b sucht that the function f defined by f(x)= {{:((x-4)/(|x-4|)+a, if x lt 4),(a+b,if x =4),((x-4)/(|x-4|)+b, if x gt 4):} is a continous function at x = 4 .

Find the values of a and b sucht that the function f defined by f(x) = {{:((x-4)/(|x-4|)+a, if x lt 4),(a+b,if x =4),((x-4)/(|x-4|)+b, if x gt 4):} is a continous function at x = 4 .

Check the continuity of f(x)= {{:((|x-4|)/(2(x-4)), if x ne 4),(0,if x = 4):} at x = 4 .

Examine the continuity of the function : f(x)={{:((|x-4|)/((x-4))", if "xne4),(0" , if "x=4):} at x = 4.