If \( \lim _{x \rightarrow \infty} x\left(\tan ^{-1}\left(\frac{x+\lambda}{x+\mu}\right)-\frac{\...

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If \( \lim _{x \rightarrow \infty} x\left(\tan ^{-1}\left(\frac{x+\lambda}{x+\mu}\right)-\frac{\pi}{4}\right)=1 \), then ordered pair(s) \( (\lambda, \mu) \) can be
(a) \( (2022,2023) \)
(b) \( (2023,2022) \)
(c) \( (2024,2022) \)
(d) \( (2022,2024) \)
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