(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to prove the following for all natural numbers:

1/(x+1) < ln(x+1) - ln(x) < 1/x

2. Relevant equations

3. The attempt at a solution

It's in the part of the mean value theorem problems, I try using it didn't go any where. I tried thinking of other ways, but nothing seems to work.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Proof with inequations.

**Physics Forums | Science Articles, Homework Help, Discussion**