View source for E^x greater than (1+x/y)^y greater than exp(xy/(x+y) for x greater than 0 and y greater than 0)

==Theorem==
The following formula holds for $x>0$ and $y>0$:
$$\exp \left( x \right) > \left( 1 + \dfrac{x}{y} \right)^y > \exp \left( \dfrac{xy}{x+y} \right),$$
where $\exp$ denotes the [[exponential]].
==Proof==

==References==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=E^x greater than 1+x^n/n! for n greater than 0 and nonzero real x greater than 0|next=e^(-x) less than 1-(x/2) for 0 less than x less than or equal to 1.5936}}: 4.2.36

[[Category:Theorem]]
[[Category:Unproven]]