document.write( "Question 136917: if n is apositive integer prove that (1+1/n+1)^n > (1+1/n)^n \n" ); document.write( "
Algebra.Com's Answer #100218 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
Prove \"%281%2B1%2F%28n%2B1%29%29%5En+%3E+%281%2B1%2Fn%29%5En\" when n is a positive integer\r
\n" ); document.write( "\n" ); document.write( "Since n is a positive number, we can drop the exponent. (Raising a positive number greater than 1 by a positive integer, will only make that number bigger still.\r
\n" ); document.write( "\n" ); document.write( "\"%281%2B+1%2F%28n%2B1%29%29+%3E+%281%2B1%2Fn%29\"
\n" ); document.write( "\"+%28%28%28n%2B1%29+%2B+1%29%2F%28n%2B1%29%29+%3E+%28%28n%2B1%29%2Fn%29\"
\n" ); document.write( "\"+%28%28n%2B2%29%2F%28n%2B1%29%29+%3E+%28%28n%2B1%29%2Fn%29\"
\n" ); document.write( "\"+%28%28n%2B2%29n%29+%3E+%28n%2B1%29%5E2\"
\n" ); document.write( "\"n%5E2+%2B2n+%3E+n%5E2%2B2n+%2B+1\"
\n" ); document.write( "0>1 ???\r
\n" ); document.write( "\n" ); document.write( "Are you sure you entered the problem correctly?
\n" ); document.write( "
\n" );