MathDB
IMC 2005 day1 pb 5

Source: Peter

July 26, 2005
limitintegrationcalculusIMCcollege contests

Problem Statement

5) f twice cont diff, f(x)+2xf(x)+(x2+1)f(x)1|f''(x)+2xf'(x)+(x^{2}+1)f(x)|\leq 1. prove limx+f(x)=0\lim_{x\rightarrow +\infty} f(x) = 0