" 17.यFि "f(x)={[(x-4)/(|x-4|)+a,x<4],[a+b,x=4.quad " तब "x=4" पर "f(x)],[(x-4)/(x-4)+b,x>4]

Let f(x)={(x-4)/(|x-4|)+a ,x 4 Then f(x) is continous at x=4 when

Let f(x)={((x-4)/(|x-4|)+a, xlt4),(a+b, x=4),((x-4)/(|x-4|)+b,x gt 4):} Then , f (x) is continuous at x = 4, when

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 .

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

Evaluate the left-and right-hand limits of the function f(x)={(|x-4|)/(x-4),x!=4, 0,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.

If a function f is defined as f(x)={(|x-4|)/(x-4)\ \ \ ,\ \ \ x!=4 0\ \ \ ,\ \ \ x=4 Show that f is everywhere continuous except at x=4 .