If \( f(x)=\left[\begin{array}{ll}\tan ^{-1}(\tan x) ; & x \leq \fr...

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If \( f(x)=\left[\begin{array}{ll}\tan ^{-1}(\tan x) ; & x \leq \frac{\pi}{4} \\ \pi[x]+1 ; & x\frac{\pi}{4}\end{array}\right. \), then jump of
P discontinuity is (where [.] denotes greatest integer function)
(1) \( \frac{\pi}{4}-1 \)
(2) \( \frac{\pi}{4}+1 \)
(3) \( 1-\frac{\pi}{4} \)
(4) \( -1-\frac{\pi}{4} \)
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