(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to prove that

(1+[itex]x_{1})[/itex]·...·(1+[itex]x_{n}[/itex])≥(1-[itex]Ʃ^{n}_{i=1}x_{i}^2[/itex])[itex]e^{Ʃ^{n}_{i=1}x_{i}}[/itex]

with all 0≤[itex]x_{i}[/itex]≤1

I've already proven that

(1+[itex]x_{1}[/itex])·...·(1+[itex]x_{n}[/itex])≤[itex]e^{Ʃ^{n}_{i=1}x_{i}}[/itex]

with all 0≤[itex]x_{i}[/itex]≤1

and (1-[itex]x_{1}[/itex])·...·(1-[itex]x_{i}[/itex])≥1-Ʃ[itex]^{n}_{i=1}x_{i}[/itex] with all 0≤[itex]x_{i}[/itex]≤1 ,

but can't figure out what to do with the main problem :D

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Exponential function sum problem

**Physics Forums | Science Articles, Homework Help, Discussion**