Let f: R → R be defined as
f(x) = \(\begin{cases}
\frac{\lambda|x^2 -5x +6|}{\mu|5x-x^2 -6} , & \quad x<2\\
e^{\frac{tan(x-2)}{x-|x|}}, & \quad x>2\\
\mu, & \quad x=2
\end{cases}\)
Where [x] is the greatest integer less than or equal to x. If f is continuous at x = 2, the \(\lambda\) + \(\mu\) is equal to :
(1) e(-e + 1)
(2) e(e - 2)
(3) 1
(4) 2e -1
