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The range of the following function is $f (x) = \sqrt{(1 - \cos x) \sqrt{(1 - \cos x) \sqrt{(1 - \cos x) \sqrt{. . . . \infty}}}}$

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Correct option is C

Given fx=1-cosx1-cosx1-cosx....∞ =1-cosx121-cosx141--cosx18.....∞=1-cosx12+14+18+......∞=1-cosx1/21-1/2=1-cosxThus, the range of f(x) is [0, 2].

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The range of the following function is fx=1-cosx1-cosx1-cosx....∞

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Ready to Test Your Skills?

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The range of the following function is $f (x) = \sqrt{(1 - \cos x) \sqrt{(1 - \cos x) \sqrt{(1 - \cos x) \sqrt{. . . . \infty}}}}$