The Gamma Function The Gamma Function is defined by
(a) Find and
(b) Use integration by parts to show that
(c) Write using factorial notation where n is a positive integer.
To calculate: The value of .
The gamma function is defined by:
To check for convergence, the following limit must exist.
The values of the functions are found by the required value of n in the formula. So
On further simplification,
According to the by parts formula: .
To prove: by integration by parts.
To calculate: by factorial notation.
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