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JEE Main 2022 Mathematics question

MathematicsSequence and SeriesJEE Main 2022

Let f : ℕ ℝ be a function such that f(x + y) = 2f(x)f(y) for natural numbers x and y. If f(1) = 2, then the value of for which holds, is :

Answer: (3)

Solution

Putting x = y = 1 gives , and in general f(x) = . Then 2^{3}$ +

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Question ID VK-024987