MathDB

1

Part of 2007 German National Olympiad

Problems(1)

Inequality with n-th power

Source: Germany 2007 - Problem 1

12/6/2022
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.
inequalitiesalgebrareal number