Find the least natural number n, such that the following inequality holds:√n−20112012−√n−20122011<3√n−20132011−3√n−20112013.
Problem
Source: China south east mathematical olympiad 2012 day2 problem 6
Tags: inequalities, inequalities unsolved
Source: China south east mathematical olympiad 2012 day2 problem 6
Tags: inequalities, inequalities unsolved
Find the least natural number n, such that the following inequality holds:√n−20112012−√n−20122011<3√n−20132011−3√n−20112013.