comparer A et B si : A= a+1/a. Et. B=b+1/b et 0.... Pergunta de ideia deKinzou2000

Kinzou2000 @Kinzou2000

April 2019 1 63 Report

comparer A et B si :
A= a+1/a. Et. B=b+1/b
et 0

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kvnmurty $On\ a\ 0<a<b<1\\\\A=a+\frac{1}{a},\ \ \ B=b+\frac{1}{b}\\\\B-A=b-a-\frac{b-a}{ab}=(b-a)\frac{(ab-1)}{ab}\\\\ ab<1,\ et\ \ ab>0,\ et\ \ b-a>0\\\\\Donc,\ B-A<0\\B < A$

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