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Let \( f(x)=\left\{\begin{array}{cc}\frac{1-\tan x}{4 x-\pi} & x \neq \frac{\pi}{4} \\ \lambda & x=\frac{\pi}{4}\end{array} ; x \in\left[0, \frac{\pi}{2}\right)\right. \).
P
If \( f(x) \) is continuous in \( \left[0, \frac{\pi}{2}\right) \) then \( \lambda \) is equal to :
(a) 1
(b) \( \frac{1}{2} \)
(c) \( -\frac{1}{2} \)
(d) -1
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