If f(x)= _ k=2 ^n (x- 1 k-1 ) (x- 1k ), then the product of roots of f(x)=0 as n , is

JEE Main Mathematics question

If , then the product of roots of as , is

Answer: (B)

The terms are quadratics with leading coefficient , so . The constant term is a telescoping sum,

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Question ID VK-014107