If anyone could me, I don't know what the mean value theorem is but I have a question about it as below.

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Apply the mean value Theorem to f(x)=In(1+x) to show that \[\frac{ x }{ 1+x }<\ln (1+x)0.\]

\[\text{ try something like this } \\ \text{ use the mvt for } f(x)=\ln(1+x) \text{ on } (0,x)\]

I am not sure how to use the mean value theorem

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