1.
Let f:R→Rf: \mathbb{R} \to \mathbb{R} be defined as
f(x)={λ∣x2−5x+6∣μ(5x−x2−6),x<2etan⁡(x−2)x−[x],x>2μ,x=2f(x) = \begin{cases} \frac{\lambda|x^2 - 5x + 6|}{\mu(5x - x^2 - 6)}, & x < 2 \\ e^{\frac{\tan(x-2)}{x - [x]}}, & x > 2 \\ \mu, & x = 2 \end{cases}

where [x][x] is the greatest integer less than or equal to xx. If ff is continuous at x=2x = 2, then λ+μ\lambda + \mu is equal to: