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}[{ |
| ^{x}}/{ |
| } ] |
Understanding the derivation of this identity is reasonable for a bright student of first year undergraduate calculus in the United States.