Let \( f: R \rightarrow \) be defined as \[ f(x)=\left\{\begin{array}{cc} \frac{\lambda \mid x^{...

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Let \( f: R \rightarrow \) be defined as
\[
f(x)=\left\{\begin{array}{cc}
\frac{\lambda \mid x^{2}-5 x+6}{\mu\left(5 x-x^{2}-6\right)} & , x2 \\
e^{\frac{\tan (x-2)}{x-[x]}} & , x2 \\
\mu & , x=2
\end{array}\right.
\]
Where \( [x] \) is the greatest integer less than or equal to \( x \). If \( f \) is continuous at \( x=2 \), then \( \lambda+\mu \) is equal to
(a) \( e(-e+1) \)
(b) \( e(e-2) \)
(c) 1
(d) \( 2 e-1 \)
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