Question: (a) For a positive integer n, show that there exists e (0, 1) such that C 1 1 1+ + 1! 2! (n+1)! Further

(a) For a positive integer n, show that there exists e (0, 1) such that C 1 1 1+ + 1! 2! (n+1)! Further show that (b) (*) Show that e is an irrational number. ...+ = n!e-m for some integer m.

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