How would you show that the Gamma function gets large in absolute value for z with large real part using just Euler's integral form defined as the following?
$\Gamma(z)=\int_0^\infty t^{z-1}e^{-t}dt, Re(z)>0$.
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Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking. – Community May 09 '23 at 15:46