MathDB
f (x)=1/(\sqrt[3]{x^2 + 6x + 9} + \sqrt[3]{x^2 + 4x + 3} + \sqrt[3]{x^2 + 2x +1}

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2016 Shortlist F2 day2 (F= Functions)

September 24, 2021
algebraSumradical

Problem Statement

Sea f:R+→Rf: R^+ \to R defined as f(x)=1x2+6x+93+x2+4x+33+x2+2x+13f (x) = \frac{1}{\sqrt[3]{x^2 + 6x + 9} + \sqrt[3]{x^2 + 4x + 3} + \sqrt[3]{x^2 + 2x + 1}} Calculate f(1)+f(2)+f(3)+...+f(2016).f (1) + f (2) + f (3) + ... + f (2016).
Back to ProblemsView on AoPS