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JEE Main 2022 Mathematics question

MathematicsFunctionJEE Main 2022

Let , x ℝ − {0, −1, 1}. If for all n ℕ, then is equal to

Answer: (2)

Solution

f(x) = (x − 1)/(x + 1), = −1/x, = −(x + 1)/(x − 1) and . So the functions repeat with period

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Question ID VK-025344