The range of \( f(x)=\cos \left(\sin \left(\log \frac{x^{2}+e}{x^{2}+1}\right)\right)+\sin \left....

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The range of
\( \mathrm{P} \)
\( f(x)=\cos \left(\sin \left(\log \frac{x^{2}+e}{x^{2}+1}\right)\right)+\sin \left(\cos \left(\log \left(\frac{x^{2}+e}{x^{2}+1}\right)\right)\right) \) is
W
(1) \( [-\sqrt{2}, \sqrt{2}] \)
(2) \( [-2,2] \)
(3) \( [\cos (\sin 1)+\sin \cos 1,1+\sin 1] \)
(4) \( [-1,1] \)


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