How do I show that 1/x > ln(1+1/x) for any positive integer x? - MathOverflow [closed]

How do I show that 1/x > ln(1+1/x) for any positive integer x? - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-18T08:26:16Z http://mathoverflow.net/feeds/question/77201 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/77201/how-do-i-show-that-1-x-ln11-x-for-any-positive-integer-x How do I show that 1/x > ln(1+1/x) for any positive integer x? JpLob 2011-10-05T04:17:43Z 2011-10-05T04:17:43Z

<p>I know this statement is true... but how do I prove it?</p>