For positive real numbers such that , which one holds?

Maths Inequations & Inequalities General More Than One Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

none of these

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a, b)

Using A.M. G.M. one can show that

Therefore, holds. Also,

Therefore, holds. Again,

and so on. Adding the inequalities, we get

Therefore, does not hold.

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