ID: Class: 11 Subject: Math Topic: Limits and Derivatives Type: Subjective Year: null

Question:

Suppose $f(x)=\begin{cases}a+bx,&x<1\\ 4,&x=1\\ b-ax,&x>1\end{cases}$ and $\lim_{x\rightarrow1}f(x)=f(1)$. What are the possible values of $a$ and $b$?