Is continuous at x=3 , then the value of a - b is

Step-by-step solution

If x 3 , then |x-3| x-3 + b = x-3 x-3 + b =1+ b Given function can be written as f (x)= array l a -1, x 3 array . As f (x) is continuous at x=3 , we get array ll & _ x 3⁻ f (x)= f (3) and _ x 3⁺ f (x)= f (3) & a -1= a + b and 1+ b = a + b & b =-1 and a =1 & a - b =2 array