Let x be an irrational number. Prove that there exist infinitely many fractions (p/q) with p and q as integers such that:
abs(x-[p/q]) < 1/(q^2)© BrainMass Inc. brainmass.com November 30, 2021, 12:16 am ad1c9bdddf
A real single-variable analysis is examined. The expert proves that there exists infinitely many fractions.