If `f(x)={{:((x-2)/(|x-2|)+a,x lt 2),(a+b,x=2),((x-2)/(|x-2|)+b,x gt 2):}`
is continuous at x = 2, then `a+b=`

If f(x) = {((x-2)/(|x-2|)+a, ",",x lt2),(a+b, ",", x = 2 ),((x-2)/(|x-2|)+b, ",",x gt 2):} is continuous at x = 2, then a+b =

If f(x) = {((x-2)/(|x-2|)+a, ",",x lt2),(a+b, ",", x = 2 ),((x-2)/(|x-2|)+b, ",",x gt 2):} is continuous at x = 2, then a+b =

For what values a and b f(x)={{:(,(x+2)/(|x+2|)+a,if x lt -2),(,a+b,if x=-2),(,(x+2)/(|x+2|)+2b, if x gt -2):} Is continuous at x=-2

Let f(x)= {(a|x^2-x-2| /(2+x-x^2) , xlt2),(b, x = 2), ((x-[x])/(x-2), x gt 2):} If f(x) is continuous at x = 2 , (where [.] denotes greatest integer function) : then (a , b ) is ,

f(x) ={((x^2-9)/(x-3)+a,",",x gt 3),(5, ",",x = 3),(2x^2+3x+b, ",",x lt 3):} is continuous at x = 3, then

f(x) ={((x^2-9)/(x-3)+a,",",x gt 3),(5, ",",x = 3),(2x^2+3x+b, ",",x lt 3):} is continuous at x = 3, then

If f(x)={(((1-sin^3x))/(3cos^2x), x lt pi/2), (a, x=pi/2), ((b(1-sinx))/((pi-2x)^2), x gt pi/2):} is continuous at x=pi/2 , then the value of (b/a)^(1/3) is

{:(f(x),=(x^(2)-4)/(x-2)+a,",","for" x lt 2),(,=8,",","for"x = 2),(,=x+b+4,",","for"x gt 2):} is continuous at x = 2 , then the value of a and b are respectively

{:(f(x),=(x^(2)-4)/(x-2)+a,",","for" x lt 2),(,=8,",","for"x = 2),(,=x+b+4,",","for"x gt 2):} is continuous at x = 2 , then the value of a and b are respectively