Solution Found!
Reference
Chapter 4, Problem 82E(choose chapter or problem)
Use the results obtained in Exercise to prove that if is a positive integer, then \(\Gamma n=(n-1)\)!. What are the numerical values of \(\Gamma(2)\), \(\Gamma(4)\) and \(\Gamma(7)\)?
Equation Transcription:
Text Transcription:
Gamman=(n-1)
Gamma(2)
Gamma(4)
Gamma(7)
Questions & Answers
QUESTION:
Use the results obtained in Exercise to prove that if is a positive integer, then \(\Gamma n=(n-1)\)!. What are the numerical values of \(\Gamma(2)\), \(\Gamma(4)\) and \(\Gamma(7)\)?
Equation Transcription:
Text Transcription:
Gamman=(n-1)
Gamma(2)
Gamma(4)
Gamma(7)
ANSWER:
Step 1: Problem
(i) Prove Γ(n) = (n-1)!
(ii) Values of Γ(2), Γ(3) and Γ(4)
Step (2):Given
Γ(n) = (n-1)Γ(n-1)