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16 Let t(n) be defined recursively as follows: t(1) = 1 t(n) = (n - 1) + n X n! (n > 1) Prove by

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16 Let t(n) be defined recursively as follows: t(1) = 1 t(n) = (n - 1) + n X n! (n > 1) Prove by induction that t(n) = (n + 1)! - 1

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