Given the sequence (Un) defined by Un=(2n-3)/(n+3) for any natural number n

show that Un<2 for any natural number n , knowing that (Un) is strictly increasing

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- Apr 25th 2012, 05:32 AMlebanonSequence question
Given the sequence (Un) defined by Un=(2n-3)/(n+3) for any natural number n

show that Un<2 for any natural number n , knowing that (Un) is strictly increasing - Apr 25th 2012, 05:48 AMHallsofIvyRe: Sequence question
It's pretty close to trivial isn't it? For what n is $\displaystyle \frac{2n- 3}{n+1}\le 2$ true? Just solve that inequality.