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Show that x/((1+x))<1n(1+x) for x>0...

Show that `x/((1+x))<1n(1+x)` for `x>0`

Text Solution

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Let `f(x) = In (1+x)-(x)/(1+x)`
`therefore f(x) =(1)/(1+x)-(1+x-x)/(1+x)^(2)=(x)/(1+x)^(2)gt0`
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