证明不等式|a+b|/(1+|a+b|)

问题描述:

证明不等式|a+b|/(1+|a+b|)求解,很急啊!

证明:左边=1﹣1/(1+|a+b|)∵|a+b|≤|a|+|b|,∴1/(1+|a|+|b|)≥1/(1+|a|+|b|)∴左边≥1﹣1/(1+|a|+|b|)=(|a|+|b|)/(1+|a|+|b|)=|a|/(1+|a|+|b|)+|b|/(1+|a|+|b|)...