My books says to use calculus and algebra to prove this inequality, assuming that x is a positive number:
ln(1+x) less than or equal to x/(sqrt(1+x)).
I have no idea what to do and would greatly appreciate any help. Thanks in advance.
Is it really this difficult? We haven't gone over integrals, so I'm not really sure I understand the idea, but thanks for trying to help me. Is there something simpler (possibly involving differentation)?