MathDB
Inequality with n-th power

Source: Germany 2007 - Problem 1

December 6, 2022
inequalitiesalgebrareal number

Problem Statement

Determine all real numbers xx such that for all positive integers nn the inequality (1+x)n≤1+(2n−1)x(1+x)^n \leq 1+(2^n -1)x is true.
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