- #1
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Homework Statement
Find the limit of: ##\frac { \Gamma (n+\frac { 3 }{ 2 } ) }{ \sqrt { n } \Gamma (n+1) } ## as ##n\rightarrow \infty ##.
Homework Equations
##\Gamma (p+1)=p^{ p }e^{ -p }\sqrt { 2\pi p } ##
The Attempt at a Solution
Mathematica and wolfram Alpha gave the limit as 1. My solution was ##\frac{1}{\sqrt{e}}##. My work is here https://plus.google.com/u/0/1096789...6080238892798007794&oid=109678926107781868876 Sorry about the photo, but my school is about to set the alarm, and I need to get out of here. Hopefully it is visible.
Thanks,
Chris