Question

let xi ∈ R such that 0 < x1 <= x2 <= ...... <= Xn, n>= 2, and 1/ 1 + X1 + 1/ 1 + X2 + ....... 1/ 1+X = 1. Then show that √X1 + √X2 + ....... + Xn >= (n-1) { 1/√X1 + ...... + 1/√Xn }.

Answer 1

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