If f(x) is a function of x such that 1 (1+x)(1+x^2) = A 1+x + f(x) 1+x^2 for all x R then f(x) is

JEE Advanced Mathematics question

If is a function of such that for all then is

Answer: (A)

Multiply by : . Put : $1=2A⇒

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Question ID VK-108418