ID: Class: 12 Subject: Math Topic: Continuity and Differentiability Type: Short (SA) Year: 2024

Question:

Find the value of a and b so that function f defined as: \(f(x)=\begin{cases}\frac{x-2}{|x-2|}+a,&if~x<2\\ a+b,&if~x=2\\ \frac{x-2}{|x-2|}+b,&if~x>2\end{cases}\) is a continuous function.