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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

If , where , and then the greatest possible value of is .

Answer: 100

Solution

(intended version) Let (odd indices) and (even indices), so .

Every term has one odd and one even index, so it appears among the (non-negative) terms of the product . Hence

_{i=1

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Question ID VK-110309