Suppose `f(x) =[a+b x , x<1, 4, x=1,b-a x , x >1] and lim f(x) where x tends to 1 f(x) = f(1) then value of a and b?`

Explanation

To find the values of \( a \) and \( b \) in the given piecewise function \( f(x) \), we need to ensure that the limit of \( f(x) \) as \( x \) approaches 1 equals \( f(1) \). The function is defined as follows:

\[
f(x) =
\begin{cases}
a + bx & \text{if } x < 1 \\
4 & \text{if } x = 1 \\
b - ax & \text{if } x > 1
...