1. Prove that Va ER, Vn EN, [0 < a <1] ⇒ an ≤1 using mathematical induction. Justify every step.) 2. Prove that VnEN, [n>2n!

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A: Let us take:  u→=0, 0, 0v→=1, 2, 3w→=4, 5, 6

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A: (a)   Determine whether the binomial setting can be applied or not.   The given experiment is…