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#1 2011-03-20 15:02:55

c6_viyen_1995
Member
Registered: 2011-03-20
Posts: 1

(1 + 1/m )^m > ( 1 + 1/n )^n

m > n >0

How can prove that (1 + 1/m )^m > ( 1 + 1/n )^n ?

Thank you very much.

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#2 2011-04-25 03:05:33

123ronnie321
Member
Registered: 2010-09-28
Posts: 128

Re: (1 + 1/m )^m > ( 1 + 1/n )^n

Hi c6_viyen_1995,

Graph this function y = (1+1/x)^(x) here http://www.mathsisfun.com/data/grapher-equation.html.
It is always increasing in (0,∞). You can prove this using calculus.
Post again if you have any problem.

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