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Math · Advanced Math
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2. (a) Let n > -1. Use integration by parts to express in terms of「(n) (Hint: For any n, LHôspitals rule gives that 0 as oo.) (b) Hence evaluate the definite integral given that (c) Use the fact that )-VT to calculate the integral 0 (d) Using the result in part (a), demonstrate that Г(n + 1)-n! for any n E {1, 2, 3, 4, } Assignment 2 Page: 2 of 5 MCD4500 Trimester 3 2018 (e) In fact, m-factorial for any m can be defined as m-rm+ 1) (you are not required to show this identity). Use this identity, part (a) and part (b) to find the value of (-)!

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