The following identity may be regarded as a formulation of the Weierstrass product for the Gamma function.

 INT_{0}^{INFTY}[t^{x} e^{-t} {dt}/{t} ]   =  {1}/{x}  PROD_{k = 1}^{INFTY}[{
(1 + {1}/{k})
^{x}}/{
(1 + {x}/{k})
}  ] 

Understanding the derivation of this identity is reasonable for a bright student of first year undergraduate calculus in the United States.