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Range of \(f(x)=\sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{(1-\cos x) \ldots \ldots \infty}}}\)

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Range of \(f(x)=\sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{(1-\cos x) \ldots \ldots \infty}}}\)

(a) [0, 1]
(b) (0, 1)
(c) [0, 2]
(d) (0, 2)

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Correct option is c) [0, 2]

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