JEE Math Practice Question

Let f : R $$\to$$ R be defined as $$f(x) = \left\{ {\begin{matrix} {{{\lambda \left| {{x^2} - 5x + 6} \right|} \over {\mu (5x - {x^2} - 6)}},} & {x < 2} \\ {{e^{{{\tan (x - 2)} \over {x - [x]}}}},} & {x > 2} \\ {\mu ,} & {x = 2} \\ \end{matrix} } \right.$$ where [x] is the greatest integer is than or equal to x. If f is continuous at x = 2, then $$\lambda$$ + $$\mu$$ is equal to :

1. A.e($$-$$e + 1)
2. B.e(e $$-$$ 2)
3. C.1
4. D.2e $$-$$ 1