3 (a) Prove by the Principle of Mathematical Induction that n n is divisible by 2 for any n E N (6 marks) (b) Consider the sequence of real numbers In Prove by definition that rm converges to 0 as n o (8 marks) (c) Using the result from part (b), and using the Sandwich Theorem, find 1 lim n 0 n3 (...

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3. (a) Prove by the Principle of Mathematical Induction that n? +n is divisible by 2...

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Discrete Mathematics and Its Applications

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3. (a) Prove by the Principle of Mathematical Induction that n? +n is divisible by 2...

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Discrete Mathematics and Its Applications

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