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## Homework Statement

Prove ln(1+x)>=(x)/Sqrt(1+x)

Prove (x-1)^2>=x((ln(x))^2)

For x>0

## Homework Equations

## The Attempt at a Solution

I have tried using MVT, but i only end up with more inequalities that i cannot seem to prove... Another idea that works but i cannot prove exactly why it works is saying that since both sides "start" at the same value and the value of one derivative is always greater than the other implies that the LHS is always greater than the RHS. But aside from intuition, i have no proof as to why this is true! Any help would be appreciated!