Match List-I with List-II.

  List-I
(Function)
  List-II
(Interval in which function is increasing)
(A) \(\frac{x}{\log _{\mathrm{e}} x}\) (I) (-∞, -2) ∪ (2, ∞)
(B) \(\frac{x}{2}+\frac{2}{x}, x \neq 0\) (lI) \(\left(-\frac{\pi}{4}, \frac{\pi}{4}\right)\)
(C) xx, x > 0 (llI) \(\left(\frac{1}{\mathrm{e}}, ∞\right)\)
(D) sinx - cosx (IV) (e, ∞)

Choose the correct answer from the options given below: 

1
(A) - (II), (B) - (I), (C) - (III), (D) - (IV)
2
(A) - (I), (B) - (III), (C) - (II), (D) - (IV)
3
(A) - (IV), (B) - (I), (C) - (III), (D) - (II)
4
(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

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